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Samuel Eilenberg

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Samuel Eilenberg (September 30, 1913-January 30, 1998) was a Polish mathematician. He was born in Warsaw, Russian Empire (now Poland) and died in New York, USA where he had spent much of his career as a professor at Columbia University.

His main interest was algebraic topology. He worked on the axiomatic treatment of homology theory with Norman Steenrod (whose names the Eilenberg-Steenrod axioms bear), and on homological algebra with Saunders Mac Lane. He wrote the 1956 book Homological Algebra with Henri Cartan, which 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. The X-machine, a form of automaton, was introduced by Eilenberg in 1974.

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es:Samuel Eilenberg ja:サミュエル・アイレンベルグ pl:Samuel Eilenberg

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