nLab Proceedings of the Conference on Categorical Algebra - La Jolla 1965

This page compiles pointers related to the book

• Samuel Eilenberg, David K. Harrison, Saunders MacLane, Helmut Röhrl (eds.):

  Proceedings of the

  Conference on Categorical Algebra

  — La Jolla 1965

  Springer (1966)

  doi:10.1007/978-3-642-99902-4

on categorical algebra, nominally, but really about fundamental category theory as such, to a large extent.

Contents

On axiomatization of the 2-category Cat of categories (cf. ETCC):

• William Lawvere, The Category of Categories as a Foundation for Mathematics, pp. 1-20

On fibered categories:

• John W. Gray, Fibred and Cofibred Categories, pp 21-83

On monadic cohomology of algebras (related to Hochschild cohomology):

• Michael Barr, Cohomology in tensored categories, Proceedings of the Conference on Categorical Algebra - La Jolla 1965, Springer (1966) 344–354 [doi:10.1007/978-3-642-99902-4_17, pdf, pdf]

On monoidal categories and introducing closed categories as well as (strict) 2-categories (under the name “hypercategories”):

• Samuel Eilenberg, G. Max Kelly, Closed Categories, in: S. Eilenberg, D. K. Harrison, S. MacLane, H. Röhrl (eds.): Proceedings of the Conference on Categorical Algebra - La Jolla 1965, Springer (1966) 421-562 [doi:10.1007/978-3-642-99902-4]

(…)

category: reference