21. Samuel Eilenberg Samuel Eilenberg. Samuel Eilenberg (30 wrzesnia 1913 30 stycznia 1998) topolski matematyk. Urodzil sie w Warszawie, zmarl w Nowym Jorku. http://encyklopedia.servis.pl/wiki/Samuel_Eilenberg

Nauka i Edukacja w Science Servis - Polski Serwis Naukowy Astronomia Biologia Chemia Fizyka ... Encyklopedia Samuel Eilenberg 30 września 30 stycznia ) to polski matematyk Urodził się w Warszawie , zmarł w Nowym Jorku . Zajmował się gł³wnie topologiÄ . Publikował swoje prace r³wnież jako Nicolas Bourbaki To kopia Polskiej Wikipedii, Wolnej Encyklopedii Zawartość strony jest dostępna na licencji GNU Free Documentation License 1.2.

22. Samuel Eilenberg - Wikipedia, The Free Encyclopedia (Redirected from Eilenberg). Samuel Eilenberg (September 30, 1913January 30,1998) was a Polish mathematician. Biography of Samuel Eilenberg http://en.wikipedia.org/wiki/Eilenberg

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Samuel Eilenberg From Wikipedia, the free encyclopedia. (Redirected from Eilenberg Samuel Eilenberg September 30 January 30 ) was a Polish mathematician . He was born in Warsaw , Poland and died in New York USA His main interest was topology . He worked on the axiomatic treatment of homology theory with Norman Steenrod , and on homological algebra with Saunders Mac Lane , wrote a book on homological algebra with Henri Cartan that became a classic, and took part in the Bourbaki group meetings. Later in life he worked mainly in pure category theory , being one of the founders of the field. The Eilenberg telescope is a surprising construction, applying the telescoping cancellation idea to projective modules . Eilenberg also wrote an important book on automata theory X-machines (a form of automata) were introduced in 1974 by Samuel Eilenberg. edit See also Stefan Banach Stanislaw Ulam edit References S.Eilenberg.

23. Samuel Eilenberg, September 30, 1913—January 30, 1998 | By Hyman Bass, Henri Ca (30 September 1913 — 30 January 1998) remembered by Hyman Bass, Henri Cartan, Peter Freyd, Alex Heller and Saunders MacLane. http://stills.nap.edu/html/biomems/seilenberg.html

BIOGRAPHICAL MEMOIRS National Academy of Sciences Courtesy of Columbia University Samuel Eilenberg By Hyman Bass, Henri Cartan, Peter Freyd, Alex Heller, and Saunders Mac Lane S AMUEL EILENBERG DIED IN New York, January 30, 1998, after a two-year illness brought on by a stroke. He left no surviving family, except for his wide family of friends, students, and colleagues, and the rich legacy of his life's work, in both mathematics and as an art collector. "Sammy", as he has long been called by all who had the good fortune to know him, was one of the great architects of twentieth-century mathematics and definitively reshaped the ways we think about topology. The ideas that accomplished this were so fundamental and supple that they took on a life of their own, giving birth first to homological algebra and in turn to category theory, structures that now permeate much of contemporary mathematics. Born in Warsaw, Poland, Sammy studied in the Polish school of topology. At his father's urging, he fled Europe in 1939. On his arrival in Princeton, Oswald Veblen and Solomon Lefschetz helped him (as they had helped other refugees) find a position at the University of Michigan, where Ray Wilder was building up a group in topology. Wilder made Michigan a center of topology, bringing in such figures as Norman Steenrod, Raoul Bott, Hans Samelson, and others. Saunders Mac Lane's invited lecture there on group extensions precipitated the long and fruitful Eilenberg-Mac Lane collaboration. In 1947 Sammy came to the Columbia University mathematics department, which he twice chaired and where he remained till his retirement. In 1982 he was named a University professor, the highest faculty distinction that the university confers.

24. Eilenberg, Samuel eilenberg, samuel (1913 ). Polish-born US mathematician whose research in thefield of algebraic topology led to considerable development in the theory of http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/E/Eilenberg/1.ht

Eilenberg, Samuel Polish-born US mathematician whose research in the field of algebraic topology led to considerable development in the theory of cohomology. Eilenberg was born and educated in Warsaw. In the 1930s he emigrated to the USA. He was professor of mathematics at the University of Indiana 1946-49, and ended his career at Columbia University, New York. Algebraic topology, sometimes called 'combinatorial' topology, is based on homology theory - the study of closed curves, closed surfaces, and similar geometric arrangements in a given topological space. Much of Eilenberg's work was concerned with a modification of homology theory called cohomology theory. It is possible to define a 'product' of cohomology classes by means of which, together with the addition of cohomology classes, the direct sum of the cohomology classes of all dimensions becomes a ring (the cohomology ring). This is a richer structure than is available for homology groups, and allows finer results. Various very complicated algebraic operations using cohomology classes can lead to results not provable in any other way.

25. Eilenberg Biography of samuel eilenberg (19131998) samuel eilenberg s father waseducated at a Jewish school but became a brewer as he married into a family of http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eilenberg.html

Samuel Eilenberg Born: 30 Sept 1913 in Warsaw, Russian Empire (now Poland) Died: 30 Jan 1998 in New York, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Samuel Eilenberg 's father was educated at a Jewish school but became a brewer as he married into a family of brewers. Sammy, as Eilenberg was always called, studied at the University of Warsaw. It is not surprising that Eilenberg's interests quickly turned towards point set topology which, of course, was an area which flourished at the University of Warsaw at that time. A remarkable collection of mathematicians were on the staff at the University of Warsaw while Eilenberg studied there. For example Mazurkiewicz Kuratowski Sierpinski Saks and Borsuk taught there. Eilenberg was awarded his MA from the University of Warsaw in 1934. Then in 1936 he received his doctorate after studying under Borsuk Mac Lane writes in [1]:- His thesis, concerned with the

26. References For Eilenberg References for the biography of samuel eilenberg. H Bass, H Cartan, P Freyd,A Heller, and S Mac Lane, samuel eilenberg (19131998), Notices Amer. Math. http://www-groups.dcs.st-and.ac.uk/~history/References/Eilenberg.html

References for Samuel Eilenberg Version for printing H Bass, H Cartan, P Freyd, A Heller, and S Mac Lane, Samuel Eilenberg (1913-1998), Notices Amer. Math. Soc. I M James, Some topologists, in I M James (ed.), History of Topology (Amsterdam, 1999), 883-908. S Mac Lane, Samuel Eilenberg and topology (Polish), Wiadom. Mat. S Mac Lane, Samuel Eilenberg's work in category theory, Appl. Categ. Structures S Mac Lane, The work of Samuel Eilenberg in topology, in Algebra, topology, and category theory : a collection of papers in honor of Samuel Eilenberg (New York, 1976), 133-144. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR September 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Eilenberg.html

27. National Academy Of Sciences - Deceased Member eilenberg, samuel. Date of Birth, September 30, 1913. Elected to NAS, 1959.Date of Death, January 30, 1998. Biographical Memoir HTML PDF. http://www4.nationalacademies.org/nas/nasdece.nsf/(urllinks)/NAS-58MUHL?opendocu

28. History The NAS Building Legal Documents Giving To The National eilenberg, samuel Einstein, Albert Eisenhart, Luther P. Elderfield, Robert C.Elias, Peter Eliassen, Arnt Elion, Gertrude B. Elkin, William L. http://www4.nationalacademies.org/nas/nasdece.nsf/urllinks/$$AlphaListE?OpenDocu

29. AIM Reprint Library: Listing for eilenberg, samuel. Viewing Page 1 110 11-20 21-30 31-31 NEXT eilenberg, samuel MacLane, Saunders http://www.aimath.org/library/library.cgi?database=reprints;mode=display;BrowseT

30. AIM Reprint Library: 2. Adjoint functors and triples eilenberg, samuel Moore, John 3. Adjointfunctors and triples eilenberg, samuel Moore, John http://www.aimath.org/library/library.cgi?database=reprints;mode=display;BrowseT

31. TOPCOM,Samuel Eilenberg By Saunders Mac Lane samuel eilenberg, who made decisive contributions to topology and other areas ofmathematics, died on Friday, Feb. 6 in New York City. http://at.yorku.ca/t/o/p/c/52.htm

Topology Atlas Samuel Eilenberg (1914-1998) Saunders MacLane Department of Mathematics The University of Chicago Memorial from Volume 3, #1 , of TopCom Samuel Eilenberg, who made decisive contributions to topology and other areas of mathematics, died on Friday, Feb. 6 in New York City. He had been a leading member of the department of mathematics at Columbia University since 1947. His mathematical books, ideas and papers had a major influence. Eilenberg was born in Poland in 1914. At the University of Warsaw he was a student of Borsuk in the active school of Polish Topology. His thesis, concerned with the topology of the plane, was published in Fundamenta Mathematica in 1936. Its results were well received both in Poland and in the USA. In 1938 he published there another influential paper on the action of the fundamental group on the higher homotopy groups of a space. Algebra was not foreign to his topology! Early in 1939 Sammy's father told him "ammy, it doesn't look good here in Poland, Get out." He did, arriving in New York on April 23, 1939, and going at once to Princeton. At that University, Oswald Veblen and Solomon Lefschetz efficiently welcomed refugee mathematicians and found them suitable positions at American Universities. Sammy's work in topology was well known, so a position for him was found at the University of Michigan. There Ray Wilder had an active group of Topologists, including Norman Steenrod, then a recent Princeton Ph.D. Sammy immediately fitted in, did collaborative research (for example, with Wilder, O.G. Harrold and Dean Montgomery). His 1940 paper in the Annals formulated and codified the ideas of the "obstructions" recently introduced by Hassler Whitney. He also argued with Lefschetz. Finding the Lefschetz book obscure in its treatment of singular homology he provided an elegant and definitive treatment in the Annals (1949).

32. TOPCOM, Volume 3, #1 samuel eilenberg, who made decisive contributions to topology and other areas of This is a memorial for samuel eilenberg by Saunders MacLane of The http://at.yorku.ca/t/o/p/c/47.htm

Topology Atlas Document # topc-47.htm TOPOLOGICAL COMMENTARY Volume 3, #1, March 15, 1998 edited by Melvin Henriksen commentary@mail.mathatlas.yorku.ca I continue to invite commentary on any article in any issue of TopCom or on any topic of general interest to topologists, including news about topologists or topological activity. TABLE OF CONTENTS Editorial Remarks by Melvin Henriksen Leonard Gillman; an Interview (Part II) by Melvin Henriksen The Catalog of the Hausdorff Edition Memorial for J. Roberts by Richard E. Hodel and Jerry E. Vaughan Memorial for Samuel Eilenberg by Saunders MacLane The Discovery Learning Project More Conference Photos A Book Review by William Goldman Qualifying Exams in Topology by Scott Williams Federal Support for Basic Research in the Mathematical Sciences Letter to the Editor Mystery Topologist 1. EDITORIAL REMARKS by Melvin Henriksen In this editorial, the editor argues for keeping papers reasonably self-contained in mathematical journals. For Whom Are We Writing Papers? 2. LEONARD GILLMAN; AN INTERVIEW by Melvin Henriksen Leonard Gillman has a long and distinguished career as a concert pianist who earned a diploma in piano from the Julliard School of Music, an applied mathematician working for the United States Navy during the second world war, a set-theorist and topologist who wrote many research papers as well as being a co-author with Meyer Jerison of the definitive text "Rings of Continuous Functions" that set the tone for research in this area for the next quarter century, the builder of an excellent mathematics department at the University of Rochester, chairman of the mathematics department at the University of Texas, Secretary-Treasurer of the MAA for many years, and finally its President, author of many excellent expository articles for the American Mathematical Monthly as well as a monograph on how to write mathematics. He consented to summarize his career in a lengthy interview. The first part of the interview has appeared in

33. Categories: Categorical Incunabula 16442c eilenberg, samuel. Algebras of cohomologically finite dimension. Comment.Math. 18558c eilenberg, samuel. Homological dimension and syzygies. http://north.ecc.edu/alsani/ct02(1-2)/msg00006.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index categories: categorical incunabula To categories@mta.ca Subject : categories: categorical incunabula From pjf@saul.cis.upenn.edu Date : Tue, 8 Jan 2002 08:38:05 -0500 (EST) Sender cat-dist@mta.ca Follow-Ups categories: Re: categorical incunabula From: categories: Re: categorical incunabula From: categories: Re: categorical incunabula From: "Hans-E. Porst" <porst@math.uni-bremen.de> Prev by Date: categories: Re: Antonia's Line Next by Date: categories: RE: Categories and cognition Previous by thread: categories: Re: Antonia's Line Next by thread: categories: Re: categorical incunabula Index(es): Date Thread

34. Columbia University Math Department Seminars samuel eilenberg LECTURES. John Coates University of Cambridge. Euler Characteristicsof padic Lie Groups and Iwasawa Theory. Tuesdays http://www.math.columbia.edu/~lrb/EilenbergLecturesS2001.html

COLUMBIA UNIVERSITY Department of Mathematics Presents the SAMUEL EILENBERG LECTURES John Coates University of Cambridge Euler Characteristics of p-adic Lie Groups and Iwasawa Theory Tuesdays: First lecture begins on Tuesday, January 23, 2001 507 Mathematics - 4:00-5:15 p.m. Tea will be served each day at 3:30 p.m. in Room 508 ABSTRACT: p-adic Lie groups occur naturally in number theory as the image of Galois groups of local and global fields in the automorphism group of finite dimensional p-adic Galois representations. The lectures will begin by using arguments from Lie algebra cohomology to prove a rather general recent result about the Euler characteristics of p-adic Lie groups arising as the image of Galois groups in the etale cohomology of an algebraic variety over a local or global field. We will then survey the current state of knowledge of the algebraic theory of finitely generated modules over the Iwasawa algebra of an arbitrary p-adic Lie group G, discussing the notion of pseudo-nul modules recently introduced by

35. Jan23hilbert Today is samuel eilenberg s Birthday! Sammy eilenberg of Columbia Universitywas one of the world s leading mathematicians and a legendary collector of http://curvebank.calstatela.edu/birthdayindex/sep/sep30eilenberg/sep30eilenberg.

Close Window Today is Samuel Eilenberg's Birthday! Happy Birthday Sammy! Born: September 30, 1913 in Warsaw, Poland Died: January 30, 1998 in New York Sammy Eilenberg of Columbia University was one of the world's leading mathematicians and a legendary collector of South Asian art. Still, his greatest talent may have been in getting people together to talk mathematics. As a result, he was probably best known for his collaborations with other distinguished mathematicians. Friends remember him as being quite a character.

36. The Mathematics Genealogy Project - Samuel Eilenberg According to our current online database, samuel eilenberg has 17 students and174 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=7643

37. The Mathematics Genealogy Project - Update Data For Samuel Eilenberg 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=7643

38. Works Cited eilenberg, samuel and John C. Moore. 1965. Foundations of Relative HomologicalAlgebra. eilenberg, samuel and Norman E. Steenrod. 1952. http://www.physics.nyu.edu/faculty/sokal/transgress_v2/node8.html

Next: About this document Up: Transgressing the Boundaries: Towards Previous: Afterword (Submitted to Social Works Cited Adams, Hunter Havelin III. 1990. African and African-American contributions to science and technology. In African-American Baseline Essays . Portland, Ore.: Multnomah School District 1J, Portland Public Schools. Albert, David Z. 1992. Quantum Mechanics and Experience . Cambridge: Harvard University Press. Alexander, Stephanie B., I. David Berg and Richard L. Bishop. 1993. Geometric curvature bounds in Riemannian manifolds with boundary. Transactions of the American Mathematical Society Althusser, Louis. 1993. . Paris: Stock/IMEC. Alvares, Claude. 1992. Science, Development and Violence: The Revolt against Modernity . Delhi: Oxford University Press. Mathematics and Physics: Lectures on Recent Results , vol. 2, pp. 50-83, edited by L. Streit. Singapore: World Scientific. Andreski, Stanislav. 1972. Social Sciences as Sorcery Argyros, Alexander J. 1991. A Blessed Rage for Order: Deconstruction, Evolution, and Chaos

39. Topology And Psychoanalysis eilenberg, samuel and John C. Moore. 1965. Foundations of Relative HomologicalAlgebra. eilenberg, samuel and Norman E. Steenrod. 1952. http://www.math.ohio-state.edu/~fiedorow/psych.html

Applications of Topology to Psychoanalysis and Cinema Criticism At about the same time, in the social and psychological sciences Jacques Lacan pointed out the key role played by differential topology: As Althusser rightly commented, "Lacan finally gives Freud's thinking the scientific concepts that it requires". More recently, Lacan's topologie du sujet has been applied fruitfully to cinema criticism and to the psychoanalysis of AIDS. In mathematical terms, Lacan is here pointing out that the first homology group of the sphere is trivial, while those of the other surfaces are profound; and this homology is linked with the connectedness or disconnectedness of the surface after one or more cuts. Furthermore, as Lacan suspected, there is an intimate connection between the external structure of the physical world and its inner psychological representation qua knot theory: this hypothesis has recently been confirmed by Witten's derivation of knot invariants (in particular the Jones polynomial ) from three-dimensional Chern-Simons quantum field theory.

40. Eames, Charles eilenberg, samuel; Steenrod, Norman. Foundations of algebraic topology Cartan, Henri; eilenberg, samuel. Homological algebra. University press. http://www.iam.conicet.gov.ar/Biblioteca/BD-LIBROS-E.html

INSTITUTO ARGENTINO DE MATEMÁTICA BIBLIOTECA LIBRARY Base de Datos de Libros Books Data Base - E - Eames, Charles Eames, Charles; Eames, Ray A computer perspective Harvard University Press. Cambridge, Mass. 1973 Eames, Ray Eames, Charles; Eames, Ray A computer perspective Harvard University Press. Cambridge, Mass. 1973 Easthope, C. E. Easthope, C. E. Three dimensional dynamics, a vectorial treatment Butterworths. London 1958 Eaton, Ralph Monroe Eaton, Ralph Monroe Symbolism and truth: an introduction to the theory of knowledge Harvard University Press. Cambridge 1925 Eaves, B.C. Dantzig, GB; Eaves, B.C. Studies in Optimization The Mathematical Association of America. 1974-00-00 Ebbinghaus, H. D. Ebbinghaus, H. D. Numbers. Springer-Verlag. New York 1991 Eberly, D. Bebernes, Jerrold; Eberly, D. Mathematical problems from combustion theory Springer. New York 1998 Ech, Eduard Ech, Eduard Point Sets Academy of Sciences. Prague 1969 Eckhaus, Viktor Eckhaus, Viktor Studies innon-linear stability theory Springer. Berlin 1965 Eckhaus, Viktor Matched asymptotic expansions and singular perturbations North-Holland. Amsterdam 1973

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