Samuel Eilenberg

Samuel Eilenberg ( born September 30, 1913 in Warsaw, Vistula Country, † January 30, 1998 in New York, USA) was a Polish mathematician. Together with Saunders Mac Lane, he is considered the founder of the category theory.

Life and work

Samuel Eilenberg came from the Polish mathematical school, which had their centers of gravity in mathematical research, topology, functional analysis and measure theory, and obtained his doctorate in 1936 at Karol Borsuk in Warsaw. In 1939, he fled with the outbreak of the Second World War from Europe to the U.S., where him a job at the University of Michigan mediated in Princeton Solomon Lefschetz and Oswald Veblen in Ann Arbor, where Raymond Wilder, a working group " topology " built. In 1947 he went to Columbia University in New York, where he remained until his retirement, was twice Dean of the Faculty and 1982 " University Professor " (and in the highest position ) is.

Hurry Bergs main area of ​​work was the topology. Along with Norman Steenrod, he worked on an axiomatic foundation of homology theory ( Foundations of Algebraic Topology, Princeton 1952 known are the Eilenberg - Steenrod axioms for homology). His work with Saunders MacLane lay the foundation for homological algebra. He was also a member of the French Bourbaki group. With Henri Cartan together, he published a standard work on homological algebra ( Homological algebra, Princeton, 1956). The set of Eilenberg - Zilber discusses the homology of product spaces. In 1958 he held at the International Congress of Mathematicians in Edinburgh a plenary lecture ( "Applications of homological algebra in topology" ). He also wrote a book on automata theory.

Eilenberg and Steenrod also planned a sequel to their textbook, which never appeared. Eilenberg worked shortly before his death with Eldon Dyer on a multi-volume topology textbook.

Eilenberg was also a noted collector of Southeast Asian art. In 1987, he bequeathed his collection to the Metropolitan Museum of Art

His doctoral include Myles Tierney, William Lawvere, David Buchsbaum and Daniel Kan.

Honors

Writings

  • Samuel Eilenberg: singular homology theory. Ann. of Math ( 2) 45, (1944). 407-447. (Definition Singular homology)
  • Samuel Eilenberg, Saunders MacLane: Relations in between homology and homotopy groups of spaces. Ann. of Math ( 2) 46, (1945 ). 480-509. ( Definition of group homology)
  • Claude Chevalley, Samuel Eilenberg: Cohomology theory of Lie groups and Lie algebras. Trans Amer. Math Soc. 63, (1948 ). 85-124.
  • Samuel Eilenberg, Norman Earl Steenrod: Foundations of algebraic topology. 6th edition. . Princeton University Press, Princeton, 1966 ( 1st edition: Princeton University Press, Princeton, New Jersey, 1952. )
  • Henri Cartan, Samuel Eilenberg: Homological Algebra. 13th edition. Princeton University Press, Princeton, 1999, ISBN 0-691-04991-2. ( 1st edition: Princeton University Press, Princeton, NJ, 1956. )
  • Samuel Eilenberg: Automata, languages ​​, and machines. Vol A, B, Pure and Applied Mathematics, Vol 58, 59 Academic Press New York. 1974, 1976.
  • Samuel Eilenberg, Saunders Mac Lane: Collected works. Academic Press, London, 1986, ISBN 0-12-234020-5.
Eilenberg–Zilber theorem National Academy of Sciences Nice Wolf Prize Leroy P. Steele Prize American Mathematical Society Carl Ludwig Siegel Jean Leray Oscar Zariski Hassler Whitney Mark Krein Kunihiko Kodaira Hans Lewy Atle Selberg Ennio de Giorgi Ilya Piatetski-Shapiro Lennart Carleson Mikhail Leonidovich Gromov Jacques Tits Joseph Keller Yakov Sinai Raoul Bott Jean-Pierre Serre John Tate Sergei Novikov (mathematician) Stephen Smale Phillip Griffiths David Mumford Luis Caffarelli Michael Artin Integrated Authority File
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