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pt: Samuel Eilenberg
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Categories were first introduced by Samuel Eilenberg and Saunders Mac Lane in 1942 – 45, in connection with algebraic topology.
In 1942 – 45, Samuel Eilenberg and Saunders Mac Lane introduced categories, functors, and natural transformations as part of their work in topology, especially algebraic topology.
Lakoff and Núñez cite Saunders MacLane ( the inventor, with Samuel Eilenberg, of category theory ) in support of their position.
Category theory first appeared in a paper entitled " General Theory of Natural Equivalences ", written by Samuel Eilenberg and Saunders Mac Lane in 1945.
* Cartan, Henri Paul and Eilenberg, Samuel ( 1956 ) Homological Algebra Princeton University Press, Princeton, NJ, OCLC 529171
* Eilenberg, Samuel and Moore, J. C. ( 1965 ) Foundations of relative homological algebra ( Memoirs of the American Mathematical Society number 55 ) American Mathematical Society, Providence, R. I., OCLC 1361982
Other notable participants in later days were Hyman Bass, Laurent Schwartz, Jean-Pierre Serre, Alexander Grothendieck, Jean-Louis Koszul, Samuel Eilenberg, Serge Lang and Roger Godement.
Toward the middle of the 20th century it turned out that set theory ( ZFC or otherwise ) was inadequate as a foundation for some of the emerging new fields, such as homological algebra, and category theory was proposed as an alternative foundation by Samuel Eilenberg and others.
In 1944, Samuel Eilenberg overcame the technical limitations, and gave the modern definition of singular homology and cohomology.
Saunders Mac Lane ( 4 August 1909, Taftville, Connecticut – 14 April 2005, San Francisco ) was an American mathematician who cofounded category theory with Samuel Eilenberg.
He started writing on group extensions in 1942, and began his epochal collaboration with Samuel Eilenberg in 1943, resulting in what are now called Eilenberg – MacLane spaces K ( G, n ), having a single non-trivial homotopy group G in dimension n. This work opened the way to group cohomology in general.
Samuel Eilenberg ( September 30, 1913 – January 30, 1998 ) was a Polish and American mathematician of Jewish descent.
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 ".
* Samuel Eilenberg & Tudor Ganea, On the Lusternik-Schnirelmann category of abstract groups, Annals of Mathematics, 2nd Ser., 65 ( 1957 ), no.
* Samuel Eilenberg & Saunders Mac Lane, " Relations between homology and homotopy groups of spaces ", Annals of Mathematics 46 ( 1945 ), 480 – 509.
* Samuel Eilenberg & Norman E. Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. xv + 328 pp.
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