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Mazurkiewicz Stefan:     more detail

Scientifique Polonais: Adam Skorek, Joseph Tykocinski-Tykociner, Henryk Arctowski, Stefan Mazurkiewicz, Jan Czerski (French Edition) Podstawy Rachunku Prawdopodobienstwa. by Stefan Mazurkiewicz, 1956 TRAVAUX DE TOPOLOGIE Institut Mathematique De L'academie Polonaise Des Sciences by Stefan MAZURKIEWICZ, 1959-01-01 Travaux de topologie et ses applications. by Stefan Mazurkiewicz, 1969

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41. MathNerds - Mazurkiewicz's Theorem On 2-Sets
    This result was proved by stefan mazurkiewicz in 1914, and we will show his proof.In this article we will show how to construct the set using transfinite  
    http://www.mathnerds.com/mathnerds/best/Mazurkiewicz/solution.aspx
    
    Extractions: Home Best Texans Volunteer ... Volunteer Does there exist a subset of the plane such that every straight line intersects the set at exactly two points? Remark. A set that intersects every line of the plane in exactly n points is called an n-set . A 1-set is clearly impossible; this question asks whether 2-sets exist.) The answer is Yes, although it's hard to visualize such a set. This result was proved by Stefan Mazurkiewicz in 1914, and we will show his proof. In this article we will show how to construct the set using transfinite recursion. Surprisingly the construction uses almost no facts about geometry or the plane, but it does use some facts about transfinite numbers, so you should be familiar with those. (Most books on set theory discuss this topic.) Let's practice on a simpler version of the problem before we take a leap into the transfinite. Suppose we are given a finite collection of straight lines in the plane, L , ..., L

42. Stefan Mazurkiewicz: Information From Answers.com
    List of Poles Information From Answers.comStefan mazurkiewicz. Stanislaw Mazur. Andrzej Mostowski. Jerzy NeymanSplawa,mathematician (Moldavan born); Marcin Poczobutt-Odlanicki. Wladyslaw Orlicz.  
    http://www.answers.com/topic/stefan-mazurkiewicz
    
    Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Stefan Mazurkiewicz Wikipedia Stefan Mazurkiewicz Stefan Mazurkiewicz (b. September 25 , in Warsaw June 19 in Grodzisk Mazowiecki Poland ) was a Polish mathematician , who worked in mathematical analysis topology and probability . Member of PAU . He was a student of The Hahn-Mazurkiewicz theorem is a basic result on curves prompted by the phenomenon of space-filling curves . (The name is for Hans Hahn This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Mentioned In Stefan Mazurkiewicz is mentioned in the following topics: Zygmunt Janiszewski Stanislaw Saks Warsaw School of Mathematics Jan Lukasiewicz ... List of mathematicians Wikipedia information about Stefan Mazurkiewicz This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Stefan Mazurkiewicz" More from Wikipedia Your Ad Here Jump to: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Send this page Print this page Link to this page Tell me about: Home About Tell a Friend Buzz ... Site Map

43. Stefan, Josef --  Encyclopædia Britannica
    stefan mazurkiewicz University of St.Andrews Biographical sketch of this Polishmathematician known for his contributions to topology and theory of  
    http://www.britannica.com/eb/article-9069525
    
    Extractions: Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Josef Stefan Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Stefan, Josef Stefan, Josef... (75 of 129 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Stefan, Josef."

44. Sierpinski Carpet
    So the Sierpinski carpet was actually invented by stefan mazurkiewicz, who in1913 wrote his Ph.D. thesis under the supervision of Sierpinski on curves  
    http://ecademy.agnesscott.edu/~lriddle/ifs/carpet/carpet.htm
    
    Extractions: Larry Riddle Home Sierpinski Gasket Sierpinski Carpet Sierpinski Pentagon ... Levy Dragon Sierpinski Start with a solid (filled) square C(0) . Divide this into 9 smaller congruent squares. Remove the interior of the center square (that is, do not remove the boundary) to get C(1) . Now subdivide each of the eight remaining solid squares into 9 congruent squares and remove the center square from each to obtain C(2) . Continue to repeat the construction to obtain a decreasing sequence of sets The Sierpinski carpet is the intersection of all the sets in this sequence, that is, the set of points that remain after this construction is repeated infintely often. The figures below show the first four iterations. The squares in red denote some of the smaller congruent squares used in the construction. Watch

45. Collected Works In Mathematics And Statistics
    mazurkiewicz, stefan, 18881945, Travaux de topologie et ses applications, 1,QA 611 M37, Killam. McDaniel, Wayne, 1931-, Collected papers, 1, QA 3 Q 38 v.  
    http://www.mathstat.dal.ca/~dilcher/collwks.html
    
    Extractions: This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: [On to B] [Back to Top]

46. Stefan Banach, Mathematician
    Photo of stefan Banach, Polish Mathematician Born March 30, 1892, in Ostrowsko, mazurkiewicz and Sierpinski, a series titled Mathematical Monographs.  
    http://www.polishwashington.com/prominent-poles/stefan.banach.htm
    
    Extractions: Died: August 31, 1945, in Lwow (Lemberg, Lviv), Soviet Union (now Ukraine) Accomplishments: Founded the important modern mathematical field of functional analysis and made major contributions to the theory of topological vector spaces. In addition, he contributed to measure theory, integration, the theory of sets and orthogonal series. Stefan Banach He was in Kiev when Germany invaded the Soviet Union, but he returned immediately to his family in Lwow. He was arrested, but after few weeks he was released. He also survived the Nazi slaughter of Polish university professors. His advisor Lomnicki was among those who perished. From the end of 1941 through the remainder of the Nazi occupation (July 1944), Banach worked feeding lice in Prof. Weigel’s Institute in Lwow. After the Soviets reentered Lwow, Banach contacted his Soviet friend Sobolev, who wrote about this encounter: "...and despite the grave illness that was undercutting his strength, Banach's eyes were still lively. He remained the same sociable, cheerful and extraordinarily well-meaning and charming Stefan Banach whom I had seen in Lvov before the war. That is how he remains in my memory: with a great sense of humor, an energetic human being, a beautiful soul and a great talent..." Banach died of lung cancer in Lwow in 1945.

47. The German Enigma Cipher Machine - History Of Solving
    At the same time, stefan mazurkiewicz, another Polish Mathematician was workingfor the Second Department of the General Staff of the Polish Army at Warsaw.  
    http://www.enigmahistory.org/chronology.html
    
    Extractions: Please Note: This Timetable is UNDER CONSTRUCTION! ENIGMA TIMETABLE Date ENIGMA Poland World About December 1917 Dutchman Hugo Alexander Koch patented a machine: "that steel wires on pulleys, levers, rays of light, or air, water, or oil flowing through tubes could transmit the enciphering impulse as well as electricity did". (6) February 18, 1918 Arthur Scherbius files for a patent for Enigma Cipher Machine (Patentschrift Nr. 416291). Before Scherbius had bought the rights to the Koch's Patent, he was working on his own version of the cipher machines. After that he incorporated the new findings from the Koch's Patent into his own machine. April 18, 1918 Arthur Scherbius offers Enigma Machine to the German Navy. November 11, 1918 Poland was declared an independent republic. World War I ends. Polish Army had decided to form a section responsible for the intelligence, inteception, and cryptology. 27-year old engineer and polyglot pulkownik (7) Jan Kowalewski had became a head of this section. In the early twenties, in the cryptology section in the Polish Army...

48. Book Review: Handbook Of The History Of General Topology, Volume 2
    (18821969) and of Kazimierz Kuratowski (1896-1980), are discussed by RyszardEngelking, and R. Pol discusses stefan mazurkiewicz (1888-1945).  
    http://at.yorku.ca/t/o/p/d/41.htm
    
    Extractions: 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.

49. Bibliography
    mazurkiewicz, stefan, 18881945, Travaux de topologie et ses applications / comitede redaction K. Borsuk et al, Warszawa, PWN - Editions scientifiques  
    http://www.library.cornell.edu/math/bibliography/display.cgi?start=M&

50. Southeast Missourian: Story: George Mazurkiewicz
    6, 1928, in Milwaukee, Wis., son of stefan and Josephine mazurkiewicz. He andMary Jester Massey were married July 2, 1988, in Zion, Ill.  
    http://semissourian.rustcom.net/story/121061.html
    
    Extractions: SIKESTON, Mo. George Mazurkiewicz, 75, of Sikeston died Sunday, Sept. 28, 2003, at Southeast Missouri Hospital in Cape Girardeau. He was born Feb. 6, 1928, in Milwaukee, Wis., son of Stefan and Josephine Mazurkiewicz. He and Mary Jester Massey were married July 2, 1988, in Zion, Ill. Mazurkiewicz was a retired machinist. He was a member of First Assembly of God Church in Sikeston. He served in the U.S. Army during the Korean War. Survivors include his wife; two sons, George and Richard Mazurkiewicz of South Milwaukee; a daughter, Betty Tavidian of Denver, Colo.; a stepson, Randy Massey of Jacksonville, Fla.; a stepdaughter, Sherry Mitchell of Kankakee, Ill.; two sisters, Arlene and Alice Mazurkiewicz of Milwaukee; four grandchildren; and three great-grandchildren. She was preceded in death by her parents. Friends may call today at Ponder Funeral Home from 11 a.m. until time of service. The funeral will be at 2 p.m. today at the funeral home, with the Rev. Garrett Jester officiating. Burial will be in Holy Resurrection Armenian Cemetery in South Milwaukee. , Southeast Missourian

51. Sierpinski Curve
    It has named after the Polish mathematician Waclaw Sierpinski (18821969), butit was stefan mazurkiewicz who found the curve (in 1913).  
    http://www.2dcurves.com/fractal/fractals.html
    
    Extractions: It has named after the Polish mathematician Waclaw Sierpinski (1882-1969), but it was Stefan Mazurkiewicz who found the curve (in 1913). The curve is the only plane locally connected one-dimensional continuum S such that the boundary of each complementary domain of S is a simple closed curve and no two of these complementary domain boundaries intersect. Some kind of shells (conus textilus, conus gloriatnatis) have patterns that resemble the Sierpinksi square. Professor Gerda de Vries of the University of Alberta designed a quilt named ´Sierpinksi Meets Mondrian´ notes 1) Fractal dimension = log N / log e, where N is the number of line segments and e the magnification.

52. EconPapers: An Elementary Proof Of The Knaster-Kuratowski-Mazurkiewicz-Shapley T
    By stefan Krasa and Nicholas C Yannelis; Abstract This note provides an short proof of the KnasterKuratowski-mazurkiewicz-Shapley (KKMS) Theorem based.  
    http://econpapers.repec.org/article/sprjoecth/v_3A4_3Ay_3A1994_3Ai_3A3_3Ap_3A467
    
    Extractions: Journal Articles ... Format for printing EconPapers has moved to http://econpapers.repec.org! Please update your bookmarks. Stefan Krasa and Nicholas C Yannelis Economic Theory , 1994, vol. 4, issue 3, pages 467-71 Abstract: This note provides an elementary short proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley (K-K-M-S) Theorem based on Brouwer's fixed point theorem. The usefulness of the K-K-M-S Theorem lies in the fact that it can be applied to prove directly Scarf's (1967) Theorem, i.e., any balanced game has a non-empty core. We also show that the K-K-M-S Theorem and the Gale-Nikaido-Debreu Theorem can be proved by the same arguments. There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works:

53. Math 6021
    Take a look at a brief biography of stefan mazurkiewicz, one of those for whomthe celebrated KnasterKuratowski-mazurkiewicz Theorem is named.  
    http://www.math.gatech.edu/~cain/summer00/m6021.html
    
    Extractions: Instructor: George Cain Office hours: Monday, Wednesday, Friday, 2:00 - 2:40 p.m., and 3:50 - 4:00 p.m. Meeting times and place: Monday, Wednesday, Friday, 2:40 p.m. - 3:50 p.m. Room 243, William Vernon Skiles Classroom Building Class roll: Please take a look at the class roll . If you believe you to be registered for the class, and your name does not appear here, you should check with the Office of the Registrar. Important notice: Please read this important notice Textbook: There is no "official" textbook for the course. I am preparing a fine set of notes . These will be continually under construction as the drama of the semester unfolds. We shall begin the course discussing elementary general topology. A nice (very nice) reference for this material is: Introduction to General Topology , by George L. Cain (Addison-Wesley, 1994) Some references for subsequent material are: Algebraic Topology: An Introduction , by W. S. Massey (Springer-Verlag, 1967) Functional Analysis , by Albert Wilansky (Blaisdell, 1964) Topological Spaces , by Claude Berge (Dover, 1997) Grade: At the end of the term, the authorities will insist that I give each student a grade for the course. I shall determine this grade from your performance on a sequence of homework assignments and on a final examination. There will be no in-class quizzes during the term. In deciding on course grades, the homework scores will count 75% and the final examination, 25%.

54. Stefan
    stefan Encyklopedia Servis.pl. stefan Kaczmarz stefan (ksiaze wielkopolski) stefan Matuszewski stefan mazurkiewicz stefan Michalek  
    http://encyklopedia.servis.pl/wiki/Stefan
    
    Extractions: imiona alfabetyczna lista imion imieniny imiona bałtyjskie ... imiona na świecie Stefan imię męskie pochodzenia greckiego Stefanos ). Wywodzi się od słowa oznaczającego "znak zwycięstwa". Pierwotnym polskim odpowiednikiem było imię Szczepan Żeńskim odpowiednikiem imienia jest Stefania Zdrobnienia: Stefek, Stefcio. Edytuj Edytuj 3 lutego ... 10 listopada i 11 grudnia Edytuj Edytuj

55. September 2004
    stefan mazurkiewicz. 26 Hans Reichenbach, 27 Hans Hahn, 28 Kurt Otto Friedrichs,29 Adriaan van Roomen, 30 Ernst Hellinger  
    http://mathforum.org/~judyann/calendar/September2004.html

56. Space-filling Curve
    was given by Hans Hahn (18791934) and by stefan mazurkiewicz (1888-1945).Hahn-mazurkiewicz Theorem A nonempty Hausdorff topological space can be  
    http://www.math.ohio-state.edu/~fiedorow/math655/Peano.html
    
    Extractions: It seems paradoxical, but is nevertheless true that there are continuous curves which completely fill up higher dimensional spaces such as squares or cubes. The first examples were constructed by Giuseppe Peano (1858-1932) and thus curves of this kind are known as Peano curves . The construction shown above is due to David Hilbert (1862-1943). This space-filling curve which completely fills up the unit square is the limit of a sequence of curves defined iteratively. The first six iterations in this process are shown above. See the following sites for some variants of Hilbert's construction: It was later shown that a wide variety of spaces can be completely filled up by continuous curves. A characterization of all such spaces was given by Hans Hahn (1879-1934) and by Stefan Mazurkiewicz Hahn-Mazurkiewicz Theorem A nonempty Hausdorff topological space can be completely filled up by a continuous curve if and only if the space is compact, connected, locally connected and metrizable.

57. Mathematics
    stefan mazurkiewicz Franciszek Mertens Andrzej Mostowski Jerzy Neyman Otto M. Nikodym Wladyslaw Orlicz Aleksander Rajchman Marian Rejewski  
    http://info-poland.buffalo.edu/web/sci_health/math/index.shtml

58. MIMUW - Ryszard Engelking
    mazurkiewicz, stefan Travaux de topologie et ses applications, Comité de rédactionK. Borsuk, R. Engelking, B. Knaster, K. Kuratowski, J. £o¶,  
    http://www.mimuw.edu.pl/english/research/imat-publications/engelki.html

59. MIMUW - Roman Pol
    The works of stefan mazurkiewicz in topology, Handbook of the history of generaltopology, Vol. 2 (San Antonio, TX, 1993), pp.415430,  
    http://www.mimuw.edu.pl/english/research/imat-publications/pol_roma.html

60. Genealogia Polska
    ,Genealogia Polska najwiekszy polski serwis genealogiczny.  
    http://www.genealogiapolska.pl/index.php?option=com_content&task=view&id=809&Ite

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