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         Kuratowski Kazimierz:     more books (26)
  1. Introduction to Set Theory and Topology by Kazimierz Kuratowski, 1972-06
  2. Introduction to calculus (International series of monographs on pure and applied mathematics) by Kazimierz Kuratowski, 1961
  3. Topology - Volume I by Kazimierz Kuratowski, 1966-06
  4. Set theory (Studies in logic and the foundations of mathematics) by Kazimierz Kuratowski, 1968
  5. Half Century of Polish Mathematics: Remembrances and Reflections (Pure & Applied Mathematics Monograph) by Kazimierz Kuratowski, 1980-06
  6. Topologists: Waclaw Sierpinski, René Thom, Henri Poincaré, Kazimierz Kuratowski, Felix Hausdorff, John Milnor, Vladimir Arnold
  7. Members of the Polish Academy of Learning: Waclaw Sierpinski, Stefan Banach, Kazimierz Kuratowski, Hugo Steinhaus, Edward Flatau
  8. European Mathematician Introduction: Kazimierz Kuratowski, Lodovico Ferrari, Rolf Nevanlinna, Viggo Brun, Thomas Fincke, François D'aguilon
  9. Mitglied Der Polnischen Akademie Der Wissenschaften: Stefan Banach, Kazimierz Kuratowski, Jerzy Buzek, Manfred Lachs, Ludwik Fleck (German Edition)
  10. University of Warsaw Alumni: Frédéric Chopin, Menachem Begin, Waclaw Sierpinski, Kazimierz Kuratowski, Alfred Tarski, Witold Gombrowicz
  11. Polish Scientist Introduction: Kazimierz Kuratowski, Rudolf Günsberg, Emil Godlewski, Jan Brozek, Józef Zawadzki, Leopold Infeld
  12. Polish Academy of Learning: Members of the Polish Academy of Learning, Waclaw Sierpinski, Stefan Banach, Kazimierz Kuratowski, Hugo Steinhaus
  13. Polish Mathematicians of Jewish Descent: Stanislaw Ulam, Kazimierz Kuratowski, Benoît Mandelbrot, Alfred Tarski, Hugo Steinhaus, Vilna Gaon
  14. Topologe (20. Jahrhundert): Kazimierz Kuratowski, Luitzen Egbertus Jan Brouwer, Alexander Grothendieck, Grigori Jakowlewitsch Perelman (German Edition)

81. Completeness Of The Lattices Of Domains Of A Topological Space
10 kazimierz kuratowski. Sur l operation $\overlineA$ de l analysis situs. 11 kazimierz kuratowski. \em Topology, volume I. PWN Polish Scientific
http://mizar.uwb.edu.pl/JFM/Vol4/tdlat_2.html
Journal of Formalized Mathematics
Volume 4, 1992

University of Bialystok

Association of Mizar Users
Completeness of the Lattices of Domains of a Topological Space
Zbigniew Karno
Warsaw University, Bialystok
Toshihiko Watanabe
Shinshu University, Nagano
Summary.
] and comp. [ ]). This notion is a simple generalization of the notions of open and closed domains in $T$ (see [ ]). Our main result is concerned with an extension of the following well-known theorem (see e.g. [ ]). Using these notions, certain properties of domains, closed domains and open domains are studied (comp. [
MML Identifier:
The terminology and notation used in this paper have been introduced in the following articles [
Contents (PDF format)
  • Preliminary Theorems about Subsets of Topological Spaces
  • Selected Properties of Domains of a Topological Space
  • Completeness of the Lattice of Domains
  • Acknowledgments
    Bibliography
    1] Grzegorz Bancerek. Complete lattices Journal of Formalized Mathematics
    3] Leszek Borys. Paracompact and metrizable spaces Journal of Formalized Mathematics
    4] Czeslaw Bylinski. Binary operations Journal of Formalized Mathematics
    5] Czeslaw Bylinski.
  • 82. Literatura
    kazimierz kuratowski Wstêp do teorii mnogoœci i topologii, PWN, Warszawa, 1973.L. Jan van Leeuwen (editor) Handbook of Theoretical Computer Science,
    http://aragorn.pb.bialystok.pl/~radev/literat.htm
    Literatura A B C D ... Z A Peter Aczel Non Well-Founded Sets , CSLI, Stanford, 1988 A. Aho and J. Ullman The Theory of Parsing, Translation and Computing , Prentice-Hall, Englewood Cliffs, N.J, 1972. Robert Aumann and Sergiu Hort (editors) Handbook of Game Theory with Economic Applications vol. 1 , Elsevier, Amsterdam, 1992. Robert Aumann and Sergiu Hort (editors) Handbook of Game Theory with Economic Applications vol. 2 , Elsevier, Amsterdam, 1994. Allen, James. Natural language understanding. 2nd ed. Redwood City, Cal.: Benjamin/Cummings, 1995. B H. Barendregt The Lambda Calculus: Its Syntax and Semantics , North Holland, Amsterdam, 1984. H. Barendregt Functional programming and lambda calculus. , In Handbook of Theoretical Computer Science Jon Barwise, (editor) Handbook of Mathematical Logic , North-Holland, Amsterdam, 1974. Jon Barwise, Admissible Sets and Structures , Springer-Verlag, New York, 1975. M. Ben-Ari, Podstawy programowania wspó³bie¿nego i rozproszonego Johan van Benthem, Games in Logic, in J. Hoepelman, ed., Representation and Reasoning , Niemeyer Verlag, Tübingen, 3­-15, 165­-168, 1988 Johan van Benthem, Computation versus Play as a Paradigm for Cognition, Symposium for Jaakko Hintikka, Acta Philosophica Fennica 49, 236-­251. ,1990

    83. PSIgate - Physical Sciences Information Gateway Search/Browse Results
    kazimierz kuratowski Born 2 Feb 1896 in Warsaw, Russian Empire (now Poland)Died 18 June 1980 in Warsaw, Poland Click the picture above to see four larger
    http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=1675&term1=

    84. Kwartalnik Historii Nauki I Techniki - Wielcy I Wiêksi - Wirtualny Wszech¶wiat
    R. 241979 nr 2 s. 243289. kazimierz kuratowski. kazimierz kuratowski (1896-1980) kazimierz kuratowski i Jaroslaw Iwaszkiewicz.
    http://www.wiw.pl/wielcy/kwartalnik/KuratowskiKazimierz.asp
    W iw.pl Na bie¿±co: I nformacje C o nowego Matematyka i przyroda: A stronomia B iologia ... odelowanie rzeczywisto¶ci Humanistyka: F ilozofia H istoria ... ztuka Czytaj: B iblioteka D elta ... ielcy i wiêksi Przydatne: S ³owniki C o i gdzie studiowaæ ... szech¶wiat w obrazkach Jeste¶ tutaj: Wirtualny Wszech¶wiat Wielcy i wiêksi Kwartalnik Historii Nauki i Techniki Jeste¶ tutaj
    Wielcy i wiêksi
    Kwartalnik Historii Nauki i Techniki
    Autobiografie:
    Kazimierz Kuratowski
    Co nowego W Kwartalniku Historii Nauki i Techniki pojawi³ siê wybór artyku³ów z tego czasopisma. Kwartalnik Historii Nauki i Techniki powiêkszy³ siê o trzy autobiografie polskich uczonych: Tadeusza Kielanowskiego Stanis³awa Mariana Leszczyckiego i Ryszarda Manteuffela-Szoege W Wielkich i wiêkszych pojawi³y siê dwie nowe autobiografie polskich uczonych: historyka sztuki Stanis³awa Lorentza i badacza mózgu Bogus³awa ¯ernickiego "Wielcy i wiêksi"
    Otworzyli¶my nowy dzia³ w Wirtualnym Wszech¶wiecie, po¶wiêcony biografiom znanych i mniej znanych uczonych i my¶licieli. Szukacz Przeszukaj Wirtualny Wszech¶wiat: Jak zadawaæ pytania?

    85. August 1980 Council Minutes
    2.10 kazimierz kuratowski The Council noted with sorrow the death of kazimierzkuratowski. The President instructed the Secretary to write the appropriate
    http://www.ams.org/secretary/council-minutes/council-minutes0880.html
    AUGUST 1980 COUNCIL MINUTES The Council met on 19 August 1980 at 4:00 PM in the Vandenberg Room of the Michigan League on the campus of the University of Michigan in Ann Arbor. Members present were Raymond Ayoub, Paul Bateman, Frank Birtel, Lenore Blum, Felix Browder, Philip Church, Chandler Davis, James Donaldson, Ronald Douglas, Murray Gerstenhaber, Andrew Gleason, Johan Kemperman, W.E. Kirwin, II, Peter Lax, Lee Lorch, Richard Millman, John Milnor, George Mostow, Jan Mycielski, Robert Phelps, Everett Pitcher, Marian Pour-El, Kenneth Ross, Mary Ellen Rudin David Sanches, Jane Scanlon, Stephen Smale, and Daniel Wagner. Also present were Lincoln Durst, Ruth Hahn, Ellen Heiser, William LeVeque and John Selfridge. The privilege of the floor was granted to Anatole Beck. President Lax was in the chair. MINUTES: 1.1 MINUTES OF 10 APRIL 1980: The minutes of the Council meeting of 10 April 1980 had been distributed by mail and were offered for approval. Professor Lee Lorch noted that his resolution in item 8.1 was incompletely quoted. The correct version is: If it is within the power of the Council to direct the deletion of this sentence, then the passage of this motion shall constitute the issuance of this directive. If the Council has only the power to recommend, then the passage of this motion shall constitute its request that the said sentence be deleted. He requested that words be inserted in the second line of item 8.6 to make it read "abused physically 'BY THE POLICE' in San Antonio." This was done. He durther questioned whether the report of action in item 8.1 was complete. It was agreed that the Secretary would review his informal records in the matter. Subject to that review, the minutes were then approved. The Secretary has, subsequently, conducted the review and affirms that the record is complete in the following sense. Although there were suggestions made and arguments advanced and motions or amendments made, but not seconded which are not recorded, there is no action or agreement by consensus that is not in the record. MEETINGS 3.1 COUNCIL MEETINGS: The Council meeting of April 1981 is to be set by the Secretary, under authority delegated by the EC, as soon as the schedule of scientific meetings for the spring of 1981 is complete. The EC has set Council meetings as follows: AUGUST 18, 1981 TUESDAY, in Pittsburgh JANUARY 12, 1982, TUESDAY in Cincinnati APRIL 1982 at the discretion of the Secretary 3.2 SUMMER MEETING OF 1982. The Budget Committee (BC) proposed and the EC/BT recommended to the Council that there be no Summer Meeting in 1982. Essentially simultaneously, the Executive and Finance Committees and then the Board of Governors of the MAA considered the motion "Subject to the concurrence by the AMS, the Board of Governors cancels the August 1982 meeting of the Association." Although the Council delegated to the EC the power to decide this question for the Society, the EC preferred to leave it to the Council. The reasons presented by the BC were these: (a) the only site available (after extensive exploration) is San Diego State University; fees there would be quite high and the location is wrong for anyone planning to go to the International Congress of Mathematicians (ICM) in Warsaw. (b) Attendance at the meeting at Brown just prior to the ICM of 1978 was small. (c) The format of Summer Meetings may be reconsidered, particularly if attendance in Ann Arbor is small; the break would facilitate the reconsideration. The motion offered to the Council was as follows: Subject to the concurrence of the MAA, there be no Summer Meeting in 1982. The motion passed. Subsequently, the Board of Governors did not approve the parallel resolution, so that negotiations for a site for the Summer of 1982 continue. COMMITTEES AND BOARDS 4.1 PUBLICATION OF PROCEEDINGS OF SOCIETY EVENTS: The EC/BT recommended to the Council that it establish the principle that the Society shall have the right of first refusal on publication of proceedings of events sponsored by the Society. The proposed policy would be promulgated by the Executive Director for grant supported events, by the Associate Secretaries for special sessions, and by any committee which sponsors events. An example in the last category is the short courses currently sponsored by the Committee on Employment and Educational Policy. The Society has in the series CONTEMPORARY MATHEMATICS a vehicle for such publication in addition to the various symposias series. The Council established the principle. 4.2 REVIEW OF SOCIETY ACTIVITIES: The Council of 20 January 1980 charged the EC to "carry out a continuing review and appraisal of the the Society's activities." An AD HOC Committee reported. See the attachment, which has the endorsement of the EC. The report proposed that the survey be conducted in a three year cycle over the categories of: I. Meetings (1981) II. Publications (1982) III. Membership services (1983) The work on category I is to begin at once. It is broken down into: Ia. Summer and Annual Meetings Ib. Regional Meetings Ic. Symposia, Institutes, and Short Courses Id. Alternatives The meeting in Ann Arbor is a testing ground in category Ia. This information was received by the Council, which deemed no action necessary. 4.3 HUMAN RIGHTS: The Council voted by the required two thirds vote to receive the report of the Committee on Human Rights even though it had not been offered in time to be distributed with the agenda. The report was presented by Chandler Davis, a member of the Committee, and is attached, along with a letter from E. Brieskorn on the subject of Berufsverbot. The Secretary noted that the letter and another on the same subject were under consideration for publication in the NOTICES by the Editorial Committee. 4.4 OPPORTUNITIES IN MATHEMATICS FOR DISADVANTAGED GROUPS: The Council voted by the required two thirds vote to receive the report of the Committee on Opportunites in Mathematics for Disadvantaged Groups. The report was presented by James Donaldson, Chairman of the Committee, and is attached. It contains items proposed for action, which are to appear on the agenda of the Annual Meeting of 1981. UNFINISHED BUSINESS 7.1 MAT. SBORNIK: The Council of 22 August 1979 passed the following resolution: The Council of the American Mathematical Society has received reports that MAT. SBORNIK discriminates against Jewish authors. Two pieces of evidence of such a policy are: (i) the very sharp decline in the number of articles by Jewish authors in the past three years, and (ii) The publication of an explicit anti-Semitic attack on N. Jacobson in Uspekhi, vol. 33, 1978. The Council deplores this state of affairs. Since MAT. SBORNIK is translated by the AMS, the Council is eager to receive clarification on this point. The minute states that the resolution "was passed with the understanding that it would be communicated to the Academy of the Sciences of the USSR, but that the reference to Jacobson would be deleted from the passage (ii). President Lax sent the letter requested on 17 December 1979. The following motion was passed at the same Council meeting: If, before the May meeting of the AMS Trustees, no satisfactory clarification of the Council's inquiry to the Soviet Academy of Science has been received, the Council recommends that the AMS seek to renegotiate the contract with VAAP for translation of Russian journals for the purpose of dropping the translation of MAT. SBORNIK. The statement was supplemented in the minutes, by consensus of the 2 January 1980 Council, by the sentence: It is understood that this motion does not bind the Trustees to a timetable, but leaves them free to use their judgment when to start negotiations. The EC/BT of May 1980, deferred action on the Council's motion that the Society seek to regnegotiate the translations contract with VAAP and decided that a second letter concerning the subject should be sent. President Lax did write the second letter, which is attached. There had been no response at the time of the Council meeting. Professor Anatole Beck had stated his intention of introducing a motion to the Business Meeting of 21 August 1980. The text of his reolution, as he presented it to the Council, was as follows: That the following motion be placed upon the calendar of the Business Meeting of the Society for the January 1981 Meeting, and shall be acted upon in case the Society shall not have discontinued the publication of the translated edition of Math. Sbornik prior to the beginning of that Annual Meeting: WHEREAS the Council of the AMS has been unable to elicit an acceptable reply from the Soviet Union concerning the charges of systematic exclusion of Jewish mathematicians from publication of MATH. SBORNIK, and WHEREAS it is the opinion of the overwhelming majority of those American Mathematicians who have looked into this issue that the discrimination complained of does actually exist, and WHEREAS the AMS, by publishing a translated edition of MATH. SBORNIK takes an active part in promoting the interantional status of this journal, and WHEREAS the AMS has both a legal and a moral obligation not to be party to such discrimination, THEREFORE BE IT RESOLVED: That it is the urgent will of the membership of the AMS as manifested through the Business Meeting that the Trustees of the Society forthwith do everything necessary and sufficient to discontiunue the publication of the translated edition of MATH. SBORNIK. At the behest of the Committee on the Agenda, the following motion was offered to the Council: In the event that the Council of 21 August 1980 passes the enabling resolution proposed by Anatole Beck, there shall be a panel discussion on the substantive motion at the Annual Meeting of the Society in January 1981 prior to the Business Meeting. The discussion had several aspects. One concerned broadening the scope of the panel discussion to other problems of human rights. Another proposed the holding of the panel discussion without reference to the fate of Professor Beck's procedural motion. Still another considered the degree to which scientific policy was involved, with the attendant problems of jurisdiction between the Council and Trustees. In the course of the discussion, a substitute motion was imperfectly formulated and Messrs. Beck and Gleason were asked to prepare a revision. At a later point in the meeting, they returned with the following draft of a substitute motion: The Program Committee is requested to organize a panel discussion on the subject of what actions are appropriate on the part of the Society in response to well established attacks on the itegrity of the mathematical community with particular reference to the issue of the translation of MATH. SBORNIK. This discussion should take place at the San Francisco meeting in January 1981 prior to the Business Meeting. However, the draft was not acted upon formally. Instead, there was a substitute motion by Professor Smale as follows: The Council asks the Program Committee to organize a panel discussion on the question odf the AMS discontinuing the translation of MATH. SBORNIK, to be held prior to the Business Meeting of January 1981. The motion to substitute was passed and then the substituted motion was passed. [The motion of Professor Beck was presented to the Business Meeting of 2l August 1980, where it did not pass.] NEW BUSINESS 8.1 'THIRD WORLD' Professor Raymond Ayoub wrote to the Secretary as follows: You may know that Jim Eells has, for the past 10 years, been running a conference in Trieste for "THIRD WORLD" mathematicians. It meets every summer and has been very successful. But a lot needs to be done. It would be of mutual benefit if the Society were to become involved in the needs of the "Third World". It should like to propose that the EC/BT consider bringing to the Council a recommendation that the AMS appoint a committee whose charge will be to bring in recommendations of ways and means by which the Society might be of service to "Third World" mathematicians and the development of mathematics in "Third World" countries. Inasmuch as his letter arrived after the most recent EC/BT meeting, it was brought directly to the Council. There was discussion over the meaning and the implications of use of the term "Third World." Professor Ayoub modified the motion to read: The Council approves the appointment of a committee by the President whose task is to bring in recommendations of ways and means by which the Society might be of service to mathematicians in developing countries. In that form, the motion was passed. 8.2 NOTICES POLICY ON CIRCULATION OF LETTERS; LETTERS FROM THE COMMITTEE ON HUMAN RIGHTS. Professor Lee Lorch requested that two items, namely 2.1 and 2.2 of the meeting of 10 April 1980 be discussed. The Council of 10 April had taken cognizance of these items and chosen then not to discuss them. The minute on each stated that the item was noted. See item 8.3 for a comment by the Secretary. No action was requested and the Council declined to discuss when there was no motion on the agenda. 8.3 FORM OF THE AGENDA: Professor Lee Lorch proposed the following motion: That the standard item on the Council agenda now called "Information and Record," be renamed to be "Information, Record and Discussion." The Secretary observed that he has been instructed by the EC and repeatedly by Presidents to segregate items of information and record and to put them at the end of the agenda (accounting for the fact that the sections are not listed in numerical order) for the declared purpose that they not generate discussion and thereby use time that should be put on major items of business. When they used to be at the beginning of the agenda, their presence there sometimes made it almost impossible to cover the agenda. Following the urging by Professor Lorch that discussion take place, the motion was defeated. 8.4 FORM OF THE AGENDA (BIS): Professor Lee Lorch proposed the following motion: That a standing item be inserted in the agenda of each Council meeting, immediately after the item providing for the adoption of the minutes of the previous meeting, entitled "Business arising from the minutes," to provide opportunity to inquire about and act upon unclear or incomplete matters, etc. The Secretary commented that an item of business arising from the minutes could be introduced into the agenda for the next meeting by a letter to the Secretary there being a long interval between the distribution of the minutes of a meeting and the preparation of the agenda for the next meeting. The motion WAS DEFEATED. 8.5 PROCEDURES FOR REPORT OF ELECTIONS: Professor Lee Lorch proposed the following motion: That the results, including the number of votes received by each candidate, of the AMS elections be reported annually, as appears to have been the case normally with the exception of 1980, to the January meeting of the Council. The Secretary observed that the motion was unnecessary. It duplicates a motion of the Council of January 1979. The fact that the tabulation was not reported in January 1980 was a failure on the part of the Secretary to follow the instruction of the Council of January 1979. By mistake, the report was made to the EC as was proposed to the Council initially. It was agreed that the report of the election of 1979 would be distributed to the Council in confidence and that the report of subsequent elections would be made to the Council in executive session as mandated. INFORMATION AND RECORD 2.1 MINUTES OF THE EXECUTIVE COMMITTEE AND BOARD OF TRUSTEES: Minutes of the EC/BT dated 2-3 MAY 1980 were distributed under separate cover in advance of the Council meeting and are attached. 2.2 BERUFSVERBOT: Dr. Daniel H. Wagner asked that the attached letter summarizing a view of Professor Dietrich Kolzow concerning Berusverbot, be circulated to the Council. 2.3 PAGE CHARGES: Attention of the Council was invited to item 6.7 of the EC/BT minutes of 2-3 May 1980 as a matter of information. 2.4 NOMINTING COMMITTEE: There were no candidates proposed by petition for the Nominating Committee. Accordingly, President Lax brought the slate for 1980 up to eight by naming: Meyer Jerison Guido L. Weiss 2.5 TIME AND EFFORT REPORTS: The attached article concerning OMB Circular A-21 was prepared by Saunders MacLane and was presented for information. 2.6 TIME AND EFFORT REPORTS (BIS). An exchange of letters between Truman Botts, Executive Director of the Conference Board of the Mathematical Sciences on the one side, and James McIntyre, Director of the Office of Management and Budget and John Lordan, Chief of the Financial Management Branch of OMB on the other, is attached for information. 2.7 SOPKA: Professor Murray Gerstenhaber, formerly Chairman of the Committee on Academic Freedom, Tenure, and Employment Security, offered the attached letter for information only. 2.8 'THE SITUATION IN SOVIET MATHEMATICS': Professor Lee Lorch requested that the two attached items be circulated. (1) A letter dated July 17, 1978 from Richard Staples, representing the corporate attorneys, to Lincoln Durst, concerning the problems posted by the then contemplated Letter to the Editor quoting an article titled "The Situation in Soviet Mathematics." See the NOTICES for November 1978, pp. 495-7. (One must realize that the comments of Mr. Staples refer to an earlier draft of the article, of which there were several. However, they do not refer to a similar handout at the Helsinki Congress.) (2) A letter dated August 16, 1978 from Lee Lorch to Ed Dubinsky, a member of the NOTICES Editorial Committee, concerning other problems with respect to the same article. Professor Lorch proposed that the Secretary add other items. There is a mountain of paper on the subject, so the Secretary added: (3) The minute of the Editorial Committee of August 10, 1978. (The communication with MR was in fact between a member of the MR Editorial Committee and a member of the BT.) (4) The minutes of the BT dated 20 September 1978. 2.9 PAUL ALTHAUS SMITH: The Council noted with sorrow the death of Althaus Smith. The President instructed the Secretary to write the appropriate letters. 2.10 KAZIMIERZ KURATOWSKI: The Council noted with sorrow the death of Kazimierz Kuratowski. The President instructed the Secretary to write the appropriate letters. The meeting adjourned at 6:10 PM. Everett Pitcher, Secretary August 19, 1980

    86. Encyclopedia: Kazimierz Kuratowski
    kazimierz kuratowski
    http://www.nationmaster.com/encyclopedia/Kazimierz-Kuratowski

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    Encyclopedia: Kazimierz Kuratowski
    Updated 206 days 14 hours 6 minutes ago. Other descriptions of Kazimierz Kuratowski Kazimierz Kuratowski (born February 2 Warsaw , died June 18 Warsaw ) was a Polish mathematician Among his contributions to mathematics are:
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  • 87. Members Of The School Of Mathematics
    Translate this page kuratowski, kazimierz LEIPNIK, Roy B. MAHLER, Kurt MONTGOMERY, Deane MOSTOW,George Daniel MOSTOWSKI, Andrzej OLUM, Paul PARS, Leopold A. PITCHER, Arthur E.
    http://www.math.ias.edu/1940.html
    AMBROSE, Warren
    BOURGIN, David G.
    BRAUER, Alfred T.
    EWING, George M.
    FRINK, Orrin, Jr.
    GÖDEL, Kurt
    HALMOS, Paul R.
    HEINS, Maurice H.
    KAKUTANI, Shizuo
    MAHARAM, Dorothy
    MUHLY, Harry T. PALL, Gordon SCHWARTZ, Abraham SHANNON, Claude E. SHERMAN, Seymour SIEGEL, Carl L. TAUB, Abraham H. THRALL, Robert M. TRJITZINSKY, Waldemar J. BLACKWELL, David H. BRAUER, Alfred T. BRAUER, Richard D. CALKIN, John W. DAVIDS, Norman DOOB, Joseph L. FUBINI, Guido GÖDEL, Kurt HALMOS, Paul R. HEINS, Maurice H. HOCHSCHILD, Gerhard P. HURWITZ, Wallie A. KAKUTANI, Shizuo KALISCH, Gerhard K. KOLCHIN, Ellis R. MACKEY, George W. MAHARAM, Dorothy MONTGOMERY, Deane SAMELSON, Hans SAVAGE, Leonard J. SCHENBERG, Mario SIEGEL, Carl L. STONE, Arthur H. TARSKI, Alfred THRALL, Robert M. WHAPLES, George W. COHEN, Irvin S. GÖDEL, Kurt McMILLAN, Audrey W. SIEGEL, Carl L. TRANSUE, William R. WADE, Luther I., Jr. WILKINS, J. Ernest, Jr. YAGI, Fumio CHERN, Shiing-shen GÖDEL, Kurt

    88. Members Of The School Of Mathematics
    Translate this page KUNZE, Ray A. 1962-63. KUPIAINEN, Antti, 1986-87. KURANISHI, Masatake, 1954-56.kuratowski, kazimierz, 1948-49. KUREPA, Djuro, 1959-60
    http://www.math.ias.edu/knames.html
    KABANETS, Valentine KAC, Mark KADISON, Richard V. KAHANE, Jean-Pierre KAHN, Peter J. KAKUTANI, Shizuo KALAI, Gil KALFAGIANNI, Efstratia KALISCH, Gerhard K. KALLIANPUR, Gopinath KALOSHIN, Vadim KAMBER, Franz W. KAMIENNY, Sheldon KAMISHIMA, Yoshinobu KAMRAN, Niky KAMVISSIS, Spyridon D. KAN, Ittai KAN, Pui Tak KANE, Richard M. KANEVSKY, Dimitry KANIEL, Shmuel KANNAI, Yakar I. KANTOR, William W. KANTOROVITZ, Miriam KANTOROVITZ, Shmuel KAPLAN, Lewis D. KAPLAN, Samuel KAPLANSKY, Irving KAPOULEAS, Nicolaos KAPOVITCH, Vitali KAREL, Martin L. KARMARKAR, Narendra KÁROLYI, Gyula KAROUBI, Max KARP, Leon KARPENKO, Nikita KARTHA, Sivan KARU, Kalle KASHIWARA, Masaki KASSEL, Christian KATO, Kazuya KATO, Mitsuyoshi KATO, Shin-ichi KATZ, Gabriel KATZ, Nicholas KATZ, Sheldon H. KAUFMAN, Bruria KAWADA, Yukiyosi KAWAI, Takahiro KAWAKITA, Masayuki KAWAKITA, Motoko KAWAKUBO, Katsuo KAWAMATA, Yujiro KAWANAKA, Noriaki KAWAUCHI, Akio KAZHDAN, David KEDLAYA, Kiran KEEL, Markus KEEL, Sean KEEN, Linda KEISLER, H. Jerome KELLER, Georg KELLEY, Allen F., Jr. KELLEY, John L. KELLY, John B. KELLY, Paul J.

    89. Polscy Naukowcy
    kazimierz kuratowski Franciszek Leja Stanislaw Lesniewski Lwowska Szkola MatematycznaMarcin z Zurawicy Józef Marcinkiewicz Edward Marczewski
    http://antyk.only.pl/na6.php

    Polscy naukowcy

    czyli strona o najlepszych
    "Jakie zado¶æuczynienie daje spo³eczeñstwo uczonym za ten wspania³y dar z siebie samych, za wielkie us³ugi oddane ludzko¶ci. ... Aby zdobyæ mo¿liwe warunki pracy trzeba najczê¶ciej wyczerpaæ m³odo¶æ i si³y w codziennej trosce o byt..." - Maria Sk³odowska-Curie
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    Wielka historia Polski Tom 2 1370-1648

    i wielu innych...
    Polscy fizycy: Czes³aw Bia³obrzeski W³adys³aw Fiszdon W³adys³aw Gosiewski Aleksander Gutsze Leopold Infeld Andrzej Januszajtis Maciej Krakowski Ignacy Malecki Krzysztof Paw³owski Maurycy Pius Rudzki Kazimierz Siemienowicz Maria Sk³odowska-Curie Marian Smoluchowski Kazimierz Turzyniecki Marian Wabia Witelo Stefan Wêgrzyn Polscy matematycy: Bruno Abakanowicz Bruno Abdank-Abakanowicz Tytus Babczyñski Stefan Banach Tadeusz Banachiewicz Kazimierz Bartel Mieczys³aw Biernacki Karol Borsuk W³adys³aw Bortkiewicz Jan Bro¿ek Wojciech Brudzewski CLeon Chwistek Samuel Dickstein W³adys³aw Fiszdon W³adys³aw Gosiewski Stanis³aw Go³±b Henryk Greniewski Stanis³aw Grzepski HEdward Jan Habich Herman Auerbach Józef Hoene-Wroñski Witold Hurewicz Zygmunt Janiszewski Juliusz Pawe³ Schauder Mark Kac Stefan Kaczmarz Micha³ Kleiber Bronis³aw Knaster Adam Adamandy Kochañski Zdzis³aw Krygowski Krystyna Kuperberg W³odzimierz Kuperberg Kazimierz Kuratowski Franciszek Leja Stanis³aw Le¶niewski Lwowska Szko³a Matematyczna Marcin z ¯urawicy

    90. List Of Scientists By Field
    Translate this page Künigsberger, Leo. Kunitz, Moses. Kunitz, Moses. Kunitz, Moses. Kuno, Hisashi.Kunth, Carl Sigismund. Kuntze, Carl Ernst Otto. kuratowski, kazimierz
    http://www.indiana.edu/~newdsb/k.html
    Kablukov, Ivan Alexsevich Kaempfer, Engelbert Kaempfer, Engelbert Kaestner, Abraham Gotthelf Kagan, Benjamin Fedorovich Kahlenberg, Louis Albrecht Kaiser, Frederik Kalm, Pehr Kaluza, Theodor Franz Eduard Kaluza, Theodor Franz Eduard Kamerlingh Onnes, Heike Kanaka Kane, Robert John Kant, Immanuel Kapteyn, Jacobus Cornelius Kargin, Valentin Alekseevich Karpechenko, Georgii Dmitrievich Karpinski, Louis Charles Karpinski, Louis Charles Karpinsky, Alexandr Petrovich Karrer, Paul Karsten, Karl Johann Bernhard Karsten, Karl Johann Bernhard Kater, Henry Kaufmann, Walter Kavraysky, Vladimir Vladimirovich Kavraysky, Vladimir Vladimirovich Kavraysky, Vladimir Vladimirovich Kay, George Frederick Kay, Marshall Kayser, Heinrich Johannes Gustav Keckermann, Bartholomew Keckermann, Bartholomew Keckermann, Bartholomew Keeler, James Edward Keesom, Willem Hendrik Keilin, David Keilin, David Keilin, David Keill, James Keill, James Keill, John Keill, John Keir, James Keith, Arthur Keith, Arthur Keith, Arthur Kekule von Stradonitz, August Kellner, David Kellner, David Kellogg, Albert

    91. Attached > Computer History > “From EMAL To...”
    Bylo nas szesciu – profesorowie kazimierz kuratowski i Andrzej Mostowski, Profesor kazimierz kuratowski powiedzial nam, ze matematyka polska powinna
    http://www.aci.com.pl/mwichary/computerhistory/articles/odemalado
    Home Polski Computer history Go back
    (Note: This page is available in Polish language only. If you would like it translated to English, please let me know . Sorry for the inconvenience)
    Rozmowa z prof. Romualdem W. Marczyñskim, twórc± pierwszych, polskich komputerów Od EMAL-a do... prof. Romuald W. Marczyñski By³a to pierwsza maszyna w ¶wiecie toleruj±ca b³êdy. Nie mia³a ona jednak praktycznie wp³ywu na nasze projekty. Otrzymali¶my od niego tylko pomoc w zakresie literatury. Wydaje mi siê, ¿e jako pierwsi na ¶wiecie zastosowali¶my takie rozwi±zanie. Kiedy ja zaczyna³em swoj± karierê bardzo zale¿a³o mi na tym aby zrobiæ co¶ czego jeszcze nie by³o i tak np. w Konstrukcji EMAL-a po raz pierwszy w ¶wiecie zastosowano specjalne mechanizmy dla przyspieszenia pobierania rozkazów. Nie by³o to wiele, ale moim zdaniem nauka, a w szczególno¶ci informatyka, rozwija siê dziêki drobnym usprawnieniom. Obecnie czêsto s³yszê pytanie stawiane naukowcom, czy ich prace badawcze przynios± konkretny zysk, najlepiej w walucie wymienialnej. Proszê pana, czy teoria wzglêdno¶ci ma swoj± cenê, albo ile kosztuje twierdzenie Pitagorasa?

    92. LES GRAPHES PLANAIRES
    confiance à kazimierz kuratowski, lequel a démontré en 1930, qu un graphe est
    http://lionel.lafaye.free.fr/les_graphes_planaires.htm
    Nous avons vu que pour résoudre le problème des ponts de Königsberg, Euler avait utilisé la notion de graphe, c'est exactement le même procédé qui permet de résoudre le problème des maisons. Il y aura une solution, si le graphe associé aux maisons, peut être qualifié de planaire, c'est à dire si on peut le représenter dans un espace à deux dimensions, et que les arêtes ne se coupent pas en dehors de leurs extrémités. Et là ça va aller très vite, car encore une fois, je pense qu'on peut faire confiance à Kazimierz Kuratowski, lequel a démontré en 1930, qu'un graphe est planaire si et seulement si, il ne contient pas l'une des deux configurations suivantes :
  • Trois sommets reliés chacun à trois sommets. (je vous l'avais dit que ça irait vite, un peu décevant non?) Cinq sommets tous reliés entre eux.
  • Et bien voilà on ne peut pas relier les 3 maisons aux 3 bornes, sans croiser les tuyaux. Par contre il est fort possible que ce problème est été créé dans les années 30 suite à la découverte de Kuratowski, car curieusement, il s'agit exactement du cas particulier d'impossibilité que le mathématicien a mis en évidence dans son théorème, étrange coïncidence. Donc faites des économies de papier et arrêtez de dessiner des maisons et des tuyaux, ça ne marche pas.

    93. Wissenglobal.de
    kuratowski,kazimierz. ALTERNATIVNAMEN. KURZBESCHREIBUNG, polnischer Mathematiker
    http://wissenglobal.de/Kazimierz_Kuratowski.html
    aus Wissenglobal, der freien Enzyklop¤die
    Kazimierz Kuratowski 2. Februar in Warschau Polen 18. Juni in Warschau, Polen) war ein polnischer Mathematiker Kuratowski wurde am 2. Februar in Warschau geboren. Seine Eltern waren Marek Kuratow, ein Rechtsanwalt, und Rosa von Karzewski. Er schloss das philologische Chrzanowski-Gymnasium in Warschau ab und ging anschlieŸend ( ) nach Glasgow , um dort Mathematik zu studieren. Nach der Gr¼ndung der polnischen Universit¤t in Warschau kehrte er dorthin zur¼ck. schloss er sein Studium an der Warschauer Universit¤t ab und promovierte mit einer zweiteiligen Arbeit, die folgendes umfasste: 1. Eine axiomatische Fundierung der Topologie , indem er die so genannte Axiomatik der Abschl¼sse einf¼hrte ( "Sur la notion de l'ensemble fini" , Fundamenta Mathematicae 1, 1920) 2. Die endg¼ltige Entscheidung des Problems der irreduziblen Kontinua , die das Thema der Pariser Doktorarbeit von Janiszewski gewesen war. Doktorvater war Sierpinski; Janiszewski, der offizielle Betreuer, war damals schon nicht mehr am Leben. Im Herbst desselben Jahres habilitierte er sich an der Warschauer Universit¤t mit der L¶sung eines Problems aus der Mengenlehre , das urspr¼nglich von de la Vall©e Poussin , einem belgischen Mathematiker, gestellt worden war. Zwei Jahre sp¤ter wurde er stellvertretender Professor am zweiten Lehrstuhl f¼r Mathematik an der Warschauer Universit¤t.

    94. SIO - Rezultati Iskanja
    INFO kazimierz kuratowski Zivljenje in delo; INFO kazimierz kuratowski -Zivljenje in delo; INFO kazimierz kuratowski - Zivljenje in delo
    http://sio.edus.si/bin/trubar/search.exe/sio?item=Kos&field=podpisime&mode=subst

    95. Www.mathematik.de | Diskrete Mathematik
    kazimierz kuratowski Karl Menger.Eugen Netto, Alfred Kempe, Percy Heawood, kazimierz kuratowski, Karl Menger
    http://www.mathematik.de/mde/information/landkarte/gebiete/diskretemathematik/di
    Impressum Kontakt Suchen [Druckversion]
    Diskrete Mathematik
    Kombinatorik n k n k n = 10 (die Zahlen bis 9) und man kann gleiche Zahlen mehrmals in einer Telefonnummer haben. Auch ist diesmal im Gegensatz zum Lotto die Reihenfolge wichtig. Setzt man k
    Ein weiteres wichtiges Teilgebiet der Diskreten Mathematik ist die Graphentheorie
    Im Zusammenhang mit der Graphentheorie bilden Algorithmen Eugen Netto Alfred Kempe Percy Heawood Kazimierz Kuratowski Karl Menger E. Netto (1848-1919). Ebenfalls 1901 erschien das Buch Choice and Chance Wahrscheinlichkeitstheorie zu erkennen.
    B. van der Waerden
    (1903-1996) oder P. Hall (1904-1982), Logikern wie F. Ramsey (1903-1930) und Topologen wie K. Kuratowski (1896-1980) oder K. Menger (1902-1985) erzielt, was die Verbindung dieses Gebiets zur abstrakten Algebra verdeutlicht.
    Frank Ramsey Bartel van der Waerden Philip Hall Hassler Whitney William Tutte H.Whitney (1907-1989) eine wesentliche Rolle spielte. Sowohl in der Theorie, als auch in den Anwendungen nahm die Graphentheorie in den 50er und 60er Jahren, besonders durch W.T. Tutte

    96. W³adys³aw Orlicz - Strona Polskiego Towarzystwa Matematycznego Oddzia³ W Pozn
    Starszymi bracmi Wladyslawa byli kazimierz i Tadeusz (pózniejszy profesor Szkoly tego Wydzialu znajdowal sie równiez profesor kazimierz kuratowski.
    http://www.staff.amu.edu.pl/~ptm_poz/historia/strony/orlicz/polska/orliczdol2.ht
    W£ADYS£AW ORLICZ (1903- 1990)
    Profesor W³adys³aw Roman Orlicz urodzi³ siê 24 maja 1903 roku w Okocimiu, w rodzinie pañstwa Franciszka i Marii Orliczów. Starszymi braæmi W³adys³awa byli Kazimierz i Tadeusz (pó¼niejszy profesor Szko³y G³ównej Gospodarstwa Wiejskiego), a m³odszymi Micha³ (tak¿e on zosta³ profesorem obieraj±c za przedmiot swoich zainteresowañ klimatologiê i meteorologiê) oraz Zbigniew. Franciszek Orlicz wcze¶nie i niespodziewanie osieroci³ swoich synów, ale matka ch³opców dzielnie i z oddaniem wype³nia³a swe rodzicielskie obowi±zki i nie zaniedba³a nale¿ytej edukacji swoich synów.
    Lata szkolne

    W pierwszych dwudziestu latach minionego wieku rodzina Orliczów do¶æ czêsto zmienia³a miejsca pobytu. Wi±za³o siê to z konieczno¶ci± zmiany szkó³, ale fakt ten nie wp³ywa³ w sposób istotny na postêpy w nauce W³adys³awa. Uczêszcza³ on do szkó³ w Tarnowie, morawskim Znaimiu i we Lwowie, gdzie Orliczowie osiedli tu¿ po I Wojnie ¦wiatowej. W³adys³aw, szczególnie w starszych klasach, uczy³ siê doskonale, a wstêpny okres edukacji zakoñczy³ 10 czerwca 1920 roku otrzymuj±c maturê w Pañstwowej Drugiej Szkole Realnej we Lwowie. Zda³ j± z odznaczeniem i podj±³ wkrótce studia na s³awnej Politechnice Lwowskiej. Studia politechniczne nie sprawia³y mu k³opotów. Nie by³y one jednak dla niego dostatecznie fascynuj±ce i ju¿ po roku podj±³ decyzjê o zmianie uczelni. Zapisa³ siê na Wydzia³ Filozoficzny (przekszta³cony wkrótce w Wydzia³ Matematyczno-

    97. Biographical Files: Container List
    kuratowski, kazimierz, 1968 1979 Kurecka-Wirpszowa, Maria, 1989 Kurek, Jalu,1969 - 1983 Kuropieska, Józef, 1956 - 1989 Kuron, Jacek, 1987 - 1994
    http://www.osa.ceu.hu/db/fa/300-50-15-1.htm

    OSA
    Guide Fonds / HU OSA Container List
    HU OSA 300-50-15 Fonds 300: Records of Radio Free Europe/Radio Liberty Research Institute Subfonds 50: Polish Unit Series 15: Biographical Files Container list: Archival boxes
  • Abakanowicz, Magdalena, 1991
    Abraham, Roman, 1976
    Abramow-Newerly, Jaros³aw, 1991
    Abrasimow, Piotr, 1957 - 1961
    Afanasjew, Jerzy, 1991
    Albinowski, Stanis³aw, 1989
    Albrecht, Jerzy, 1951 - 1961
    Allilujewa, Swetlana, 1991
    Alster, Antoni, 1961 - 1963 Amsterdam, Saul, 1952 Anderman, Janusz, 1985 - 1987 Anders, W³adys³aw, 1970 - 1992 Andrycz, Nina, 1961 - 1986 Andrzejewska, Jadwiga, 1977 Andrzejewski, Jerzy, 1956 - 1988 Andrzejewski, Piotr, 1990 Anusz, Andrzej, 1992 Applebaum, Anne, 1994 Aristow, Awerkij, 1961 Arkuszewski, Wojciech, 1993 Arski, Stefan, 1951 - 1954 Atkins, Thomas, 1957 - 1960 Auderska, Halina, 1983 - 1989 B¹binski, Czes³aw, 1957 - 1962 Babiuch, Edward, 1971 - 1983 Baczyski, Kamil, 1991 Baird, Tadeusz, 1969 - 1981 Bajan, Jerzy, 1967 Bajon, Filip, 1990 Baka, W³adys³aw, 1983 - 1989 Balcerowicz, Leszek, 1989 - 1993 Balcerzak, Janina, 1952 - 1973
  • 98. Polska Szko³a Matematyczna
    kazimierz kuratowski (18961980) jest znany jako wspóltwórca topologii ogólnej,a Karol Borsuk (1905-1982) zyskal swiatowa slawe dzieki pracom z teorii
    http://www.mt.com.pl/num/09_00/matma.htm
    M³ody Technik Polska Szko³a Matematyczna Wrzesieñ 2000 Nowy rok szkolny przywitajmy tym razem rozwa¿aniami dotycz±cymi rozwoju polskiej my¶li matematycznej, jej rodowodu oraz znaczenia dla innych nauk. Profesor Stefan Banach "Polska eksportuje wêgiel i twierdzenia matematyczne" powiedzia³ w 1946 roku Stanis³aw Skrzeszewski, ówczesny dyrektor departamentu w Ministerstwie O¶wiaty. Istotnie, wêgiel by³ wtedy niemal jedynym bogactwem materialnym, który mogli¶my eksportowaæ, a matematyka jednym z niewielu dóbr duchowych, z których Polska lat miêdzywojennych by³a s³ynna na ca³y ¶wiat. ¯eby zrozumieæ fenomen Polskiej Szko³y Matematycznej, trzeba cofn±æ siê do lat po powstaniu styczniowym. Po kolejnym przegranym powstaniu do g³osu doszli ludzie, o których mówi siê, ¿e byli nudni i ma³o romantyczni. To pozytywi¶ci. To oni g³osili, ¿e zamiast organizowaæ kolejne zrywy przeciw zaborcom, nale¿y po prostu rozwijaæ naukê, gospodarkê, sztukê i technikê. Dbaæ o polsk± kulturê - na ile to mo¿liwe w niewoli. A wtedy niepodleg³o¶æ bêdzie ³atwiej wywalczyæ i ³atwiej utrzymaæ. Jedn± z takich pozytywistycznych instytucji by³a Kasa im. Mianowskiego, patronuj±ca nauce i naukowcom na ziemiach polskich. Powsta³a ona w 1881 roku. Wydawano ksi±¿ki, wysy³ano m³odych uczonych za granicê, a w kraju organizowano kursy i nieformalne uniwersytety. Do takich nazw instytucji powo³anych przez kasê im. Mianowskiego, jak Uniwersytet Lataj±cy i Towarzystwo Kursów Naukowych, nawi±zywa³a opozycja w Polsce w latach siedemdziesi±tych i osiemdziesi±tych XX wieku.

    99. The Mathematics Genealogy Project - Update Data For Kazimierz Kuratowski
    If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor)
    http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=24546

    100. Book Review: Handbook Of The History Of General Topology, Volume 2
    influences of Waclaw Sierspinski (18821969) and of Kazimierzkuratowski (1896-1980), Later on, the younger kuratowski joined the groupand in 1932,
    http://at.yorku.ca/t/o/p/d/41.htm
    Topology Atlas Document # topd-41
    Book review: Handbook of the History of General Topology, Volume 2
    Ubiratan D'Ambrosio
    From TopCom Volume 7, #1 Handbook of the History of General Topology, Volume 2
    edited by C. E. Aull and R. Lowen
    408 pp. ISBN 0-7923-5030-8
    Kluwer Academic Publishers, Dordrecht, 1998 The series of Handbooks of the History of General Topology, of which this is the second volume and two more are promised, was originated after a session organized by the American Mathematical Society in San Antonio, Texas, in 1993. The project developed in a four volumes series, of 300-400 pages each, the first one being published in 1997, by the same publisher. General Topology is so vast and has so many different ramifications and interactions with other fields of mathematics that would be very difficult to organize the volumes by clustering subjects or distinct directions. The organizers opted by giving a good space to the comprehensive work of the main proponents of the field that emerged in the beginning of the 20th century. And considerable space is given to sub-areas which developed in the course of the century. The subjects covered are wide-ranging and eclectic. As the previous one, this second volume analyses personalities and specific topics. The geographical spread of the contributors reveal the predominance of Europeans and North Americans in the development of the General Topology. Regrettably, the book does not have a section on the profile of the contributors, such as "About the Contributors", which is common in books of this kind by this publisher. There is a possibility to repair this omission preparing a comprehensive chapter on the contributors in the next volumes. Also, the volume would benefit from an expanded Index. Since page numbering is integrated [this volume begins with page 399], we can expected an overall index in Volume 4.

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