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Samuel Eilenberg

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Citizenship
  
American

Name
  
Samuel Eilenberg

Nationality
  
Polish, American

Role
  
Mathematician

Institutions
  
Fields
  
Mathematics

Alma mater
  
University of Warsaw


Samuel Eilenberg eilenberg100ptmorgplsitesdefaultfilesyoung

Born
  
September 30, 1913Warsaw, Poland, Russian Empire (
1913-09-30
)

Doctoral advisor
  
Kazimierz KuratowskiKarol Borsuk

Doctoral students
  
Jonathan BeckDavid BuchsbaumKuo-Tsai ChenMartin GolumbicAlex HellerDaniel KanWilliam LawvereRamaiyengar Sridharan

Died
  
January 30, 1998, Manhattan, New York City, New York, United States

Education
  
Books
  
Automata, languages, and machines, Recursiveness, EilenbergMac Lane, Collected Works

Awards
  
Wolf Prize in Mathematics, Guggenheim Fellowship for Natural Sciences, US & Canada

Similar People
  

Spring 2016 samuel eilenberg lectures roman bezrukavnikov


Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-born American mathematician who co-founded category theory with Saunders Mac Lane.

Contents

Samuel Eilenberg Mathematician Samuel Eilenberg 84 Columbia University Record

Fall 2017 samuel eilenberg lecture series 09 07 2017


Biography

He was born in Warsaw, Kingdom of Poland to a Jewish family and died in New York City, United States, where he had spent much of his career as a professor at Columbia University.

He earned his Ph.D. from University of Warsaw in 1936. His thesis advisor was Karol Borsuk. 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. In the process, Eilenberg and Mac Lane created category theory.

Eilenberg was a member of Bourbaki and with Henri Cartan, wrote the 1956 book Homological Algebra, which became a classic.

Later in life he worked mainly in pure category theory, being one of the founders of the field. The Eilenberg swindle (or telescope) is a construction applying the telescoping cancellation idea to projective modules.

Eilenberg contributed to automata theory and algebraic automata theory. In particular, he introduced a model of computation called X-machine and a new prime decomposition algorithm for finite state machines in the vein of Krohn–Rhodes theory.

Eilenberg was also a prominent collector of Asian art. His collection mainly consisted of small sculptures and other artifacts from India, Indonesia, Nepal, Thailand, Cambodia, Sri Lanka and Central Asia. In 1991-1992, the Metropolitan Museum of Art in New York staged an exhibition from more than 400 items that Eilenberg had donated to the museum, entitled The Lotus Transcendent: Indian and Southeast Asian Art From the Samuel Eilenberg Collection".

Selected publications

  • Samuel Eilenberg (1974), Automata, Languages and Machines, Volume A. ISBN 0-12-234001-9.
  • Samuel Eilenberg (1976), Automata, Languages and Machines, Volume B. ISBN 0-12-234002-7.
  • Samuel Eilenberg & Tudor Ganea (1957), On the Lusternik-Schnirelmann category of abstract groups, Annals of Mathematics, 2nd Ser., 65, no. 3, 517 – 518. MR0085510
  • Eilenberg, Samuel; Mac Lane, Saunders (1945). "Relations between homology and homotopy groups of spaces". Annals of Mathematics. 46: 480–509. doi:10.2307/1969165. 
  • Eilenberg, Samuel; Mac Lane, Saunders (1950). "Relations between homology and homotopy groups of spaces. II". Annals of Mathematics. 51: 514–533. doi:10.2307/1969365. 
  • Eilenberg, Samuel; Moore, John C. (1962), "Limits and spectral sequences", Topology, 1 (1): 1–23, ISSN 0040-9383, doi:10.1016/0040-9383(62)90093-9 
  • Eilenberg, Samuel; Niven, Ivan (1944). "The "fundamental theorem of algebra" for quaternions". Bull. Amer. Math. Soc. 50 (4): 246–248. MR 0009588. doi:10.1090/s0002-9904-1944-08125-1. 
  • Eilenberg, Samuel; Steenrod, Norman E. (1945). "Axiomatic approach to homology theory". Proc. Natl. Acad. Sci. U.S.A. 31 (4): 117–120. PMC 1078770 . PMID 16578143. doi:10.1073/pnas.31.4.117. 
  • Samuel Eilenberg & Norman E. Steenrod (1952), Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey. xv+328 pp.
  • References

    Samuel Eilenberg Wikipedia


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