Proceedings of the Conference on Categorical Algebra: La Jolla 1965

Front Matter....Pages i-viii
The Category of Categories as a Foundation for Mathematics....Pages 1-20
Fibred and Cofibred Categories....Pages 21-83
Some Aspects of Equational Categories....Pages 84-94
Representations in Abelian Categories....Pages 95-120
Stable Homotopy....Pages 121-172
Splitting Homotopy Idempotents....Pages 173-176
Fill-in Theorems....Pages 177-188
Coherent Functors....Pages 189-231
Epimorphisms and Dominions....Pages 232-246
Categories of Mapping Filters....Pages 247-253
Correspondences and Exact Squares....Pages 254-271
Canonical Categories....Pages 272-294
Operational Categories....Pages 295-316
Transparent Categories and Categories of Transition Systems....Pages 317-330
A Homology Theory for Small Categories....Pages 331-335
Acyclic Models and Triples....Pages 336-343
Cohomology in Tensored Categories....Pages 344-354
Extraordinary Homology and Chain Complexes....Pages 355-365
Direct Decompositions of Radicals....Pages 366-374
Abelian Extensions and a Cohomology Theory of Harrison....Pages 375-403
Quotient Categories of Modules....Pages 404-420
Closed Categories....Pages 421-562