Simplicial methods and the interpretation of "triple" cohomology / J. Duskin.

The author gives a Yoneda-type interpretation of triple cohomology in a nonabelian setting. The impetus for this work comes from several sources, Eilenberg-MacLane cohomology of groups and its interpretations, the cohomology theory [bold]Ext[superscript italic]n for modules, and obstruction theory i...

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Bibliographic Details
Main Author:	Duskin, John Williford, 1937-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, 1975.
Series:	Memoirs of the American Mathematical Society ; no. 163.
Subjects:	Categories (Mathematics) Triples, Theory of. Complexes, Semisimplicial. Homology theory. Complexes, Semisimplicial Homology theory Triples, Theory of
Online Access:	Click for online access

Table of Contents:

Introduction
Simplicial objects in categories
Simplicial and cotriple cohomology
[italic capital]U-split augmented complexes and the standard resolution
Homotopy representability of simplicial and cotriple cohomology : the Eilenberg-Mac Lane complexes [italic capital]K([capital Greek]Pi, [script]n)
[italic capital]K([capital Greek]Pi, [script]n)-torsors
The characteristic cocycle mapping [italic capital]Z [script]n [over] [double-struck capital]G
Standard [italic capital]K([capital Greek]Pi, [script]n)-torsor defined by an [script]n-cocycle
The interpretation adjunctions
The interpretation bijections (first conclusions)
Appendix. Triples, algebras, and tripleability.

Simplicial methods and the interpretation of "triple" cohomology / J. Duskin.

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