Simplicial methods and the interpretation of "triple" cohomology / [electronic resource] J. Duskin.
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TextSeries: Memoirs of the American Mathematical Society ; no. 163.Publication details: Providence, R.I. : American Mathematical Society, 1975Description: 1 online resource (v, 135 p. : ill.)ISBN: 9781470406455 (online)Subject(s): Categories (Mathematics) | Triples, Theory of | Complexes, Semisimplicial | Homology theoryAdditional physical formats: Simplicial methods and the interpretation of "triple" cohomology /DDC classification: 510/.8 s | 512/.55 LOC classification: QA3 | .A57 no. 163Online resources: Contents | Contents 
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| IMSc Library | IMSc Library | Link to resource | Available | EBK12616 |
Bibliography: p. 132-135.
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
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