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Simplicial methods and the interpretation of “triple”\ cohomology
About this Title
J. Duskin
Publication: Memoirs of the American Mathematical Society
Publication Year:
1975; Volume 3, Number 163
ISBNs: 978-0-8218-1863-3 (print); 978-1-4704-0645-5 (online)
DOI: https://doi.org/10.1090/memo/0163
MathSciNet review: 0393196
Table of Contents
Chapters
- Introduction
- 0. Simplicial objects in categories
- 1. Simplicial and cotriple cohomology
- 2. $U$-split augmented complexes and the standard resolution
- 3. Homotopy representability of simplicial and cotriple cohomology – the Eilenberg-Mac Lane complexes $K(\Pi ,n)$
- 4. $K(\Pi ,n)$-torsors
- 5. The characteristic cocycle mapping $Z^n_{\mathbb {G}}$
- 6. Standard $K(\Pi ,n)$-torsor defined by an $n$-cocycle
- 7. The interpretation adjunctions
- 8. The interpretation bijections (first conclusions)
- Appendix. Triples, algebras, and tripleability