With Saunders Mac Lane, ‘Sammy’ Eilenberg was one of the ‘fathers’ of category theory. In their 1945 paper General Theory of Natural Equivalences they introduced category theory with the notions of categories, functors and natural transformations.
On group extensions and group homology via Ext/Tor-functors:
Introducing category theory:
Introducing the Eilenberg-Steenrod axioms for ordinary cohomology:
Introducing abstract group cohomology:
Introducing simplicial sets and semi-simplicial sets (see the historical remarks here):
Introducing the Eilenberg-Zilber theorem:
Introducing Eilenberg-MacLane spaces:
Samuel Eilenberg, Saunders Mac Lane, On the Groups , I, Annals of Mathematics Second Series, Vol. 58, No. 1 (Jul., 1953), pp. 55-106 (jstor:1969820)
Samuel Eilenberg, Saunders Mac Lane, On the Groups , II: Methods of Computation, Annals of Mathematics Second Series, Vol. 60, No. 1 (Jul., 1954), pp. 49-139 (jstor:1969702)
Samuel Eilenberg, Saunders Mac Lane, On the Groups , III: Operations and Obstructions, Annals of Mathematics Second Series, Vol. 60, No. 3 (Nov., 1954), pp. 513-557 (jstor:1969849)
On separable algebras and Frobenius algebras:
Introducing the notion of closed categories:
Last revised on August 23, 2023 at 14:13:55. See the history of this page for a list of all contributions to it.