nLab Samuel Eilenberg

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.

Selected writings

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):

On algebraic topology:

Introducing the Eilenberg-Zilber theorem:

Introducing Eilenberg-MacLane spaces:

On separable algebras and Frobenius algebras:

On homological algebra:

On homology of loop spaces:

Introducing the notion of closed categories:

On categorical algebra:

category: people

Last revised on August 23, 2023 at 14:13:55. See the history of this page for a list of all contributions to it.