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 the definition of category. The reason for introducing categories was to introduce functors, and the reason for introducing functors was to introduce natural transformations (more specifically natural equivalences) in order to define what natural means in mathematics.

Selected writings

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 homological algebra:

On homology of loop spaces:

category: people

Last revised on October 29, 2021 at 01:33:45. See the history of this page for a list of all contributions to it.