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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

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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