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Simplicial Methods and the Interpretation of ‘Triple’ Cohomology
Available Formats:
Electronic ISBN: 9781470406455
Product Code: MEMO/3/163.E
List Price: $26.00
MAA Member Price: $23.40
AMS Member Price: $15.60
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Simplicial Methods and the Interpretation of ‘Triple’ Cohomology
Available Formats:
Electronic ISBN:  9781470406455 
Product Code:  MEMO/3/163.E 
List Price:  $26.00 
MAA Member Price:  $23.40 
AMS Member Price:  $15.60 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 3; 1975; 135 ppMSC: Primary 18;

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 EilenbergMac 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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 Table of Contents

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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 EilenbergMac 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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