Saunders Mac Lane

With `Sammy' Eilenberg, Saunders Mac Lane was one of the original pioneers of category theory. He initially worked on it as a language to enable ‘natural transformations’ to be described in a ‘natural’ way, and also developed, again with Eilenberg many of the strong links with group theory and the cohomology of groups. He was the author of one of the key books on homological algebra, see below.

With Henry Whitehead he gave the first algebraic description of the 2-type of a space.


“indexed” books on the nnLab

Other books


  • S. Mac Lane, 1967, Homology , number 114 in Grundlehren, Springer.

a work on philosophy of mathematics:

  • Mac Lane, S. (1986). Mathematics form and function. Springer.


  • Saunders Mac Lane (1979). Selected Papers. Edited by I. Kaplansky. Springer-Verlag.

Papers of particular relevance to subjects in the nLab

  • S. Mac Lane and J. H. C. Whitehead, On the 3-type of a complex , Proc. Nat. Acad. Sci. U.S.A., 36, (1950), 41 – 48 (N.B. Their 3-type is the modern 2-type.)

category: people

Revised on June 8, 2017 11:03:57 by Noam Zeilberger (