Samuel Ellenburger

mathematician

Samuel Ellenburger (Samuel Eilenberg, September 30, 1913 - January 30, 1998) poland - U.S.A mathematician, judea Lineage. He was born in Russian Empire Temporal Warsaw （ poland ）, died at U.S.A New York City He's New York Columbia University I have spent most of my career there.^[1]

Chinese name: Samuel Ellenburger
Foreign name: Samuel Eilenberg
Nationality: U.S.A

date of birth: September 30, 1913
Date of death: January 30, 1998
Occupation: mathematician

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one Character's Life
two List of works

Character's Life

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Samuel Ellenburger to 1936 stay University of Warsaw get Doctor of Philosophy academic degree. His thesis supervisor is Karol Borsuk 。 His main research interests are Algebraic topology 。 He and Norman Steenrod Together Homology theory Axiomatization of, and Saunders Mac Lane （ Saunders Mac Lane ）Cooperation is axiomatic Homological algebra 。 In this process, Ellenburger and Mac Lane founded Categorical theory 。

Samuel Ellenburger

Ellenburger joined Nicolas Bourbaki Group, and Henri Cartan Co authored Homology Algebra in 1956 Homological Algebra 》This is a classic work.

After that, his main work was to Categorical theory , is one of the founders of this field. Eilenberg swindle (or telescope ）Yes will Split elimination method Ideas applied to Projective module A construct of.

Ellenburger also wrote a book about Automaton theory Important works. X - Machine （ X-machine ）, is a form of automaton introduced by Arenberg in 1974.

List of works

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Samuel Eilenberg, Automata, Languages and Machines . ISBN 0-12-234001-9

Samuel Eilenberg & Tudor Ganea, On the Lusternik-Schnirelmann category of abstract groups , Annals of Mathematics , 2nd Ser., sixty-five (1957), no. 3, 517 – 518. MR 0085510

Samuel Eilenberg & Saunders Mac Lane, "Relations between homology and homotopy groups of spaces", Annals of Mathematics forty-six (1945), 480–509.

Samuel Eilenberg & Saunders Mac Lane, "Relations between homology and homotopy groups of spaces. II", Annals of Mathematics fifty-one (1950), 514–533.

Eilenberg, Samuel; Moore, John C., Limits and spectral sequences, Topology. 1962, one (1): 1–23, doi : 10.1016/0040-9383(62)90093-9 , ISSN 0040-9383

Samuel Eilenberg & Norman E. Steenrod, Axiomatic approach to homology theory , Proc. Nat. Acad. Sci. U. S. A. 31, (1945). 117--120.

Samuel Eilenberg & Norman E. Steenrod, Foundations of algebraic topology , Princeton University Press , Princeton, New Jersey, 1952. xv+328 pp.

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