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Simplicial Methods and the Interpretation of ‘Triple’ Cohomology
| eBook ISBN: | 978-1-4704-0645-5 |
| 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
| eBook ISBN: | 978-1-4704-0645-5 |
| Product Code: | MEMO/3/163.E |
| List Price: | $26.00 |
| MAA Member Price: | $23.40 |
| AMS Member Price: | $15.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 3; 1975; 135 ppMSC: Primary 18
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Table of Contents
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Chapters
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Introduction
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0. Simplicial objects in categories
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1. Simplicial and cotriple cohomology
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2. $U$-split augmented complexes and the standard resolution
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3. Homotopy representability of simplicial and cotriple cohomology – the Eilenberg-Mac Lane complexes $K(\Pi ,n)$
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4. $K(\Pi ,n)$-torsors
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5. The characteristic cocycle mapping $Z^n_{\mathbb {G}}$
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6. Standard $K(\Pi ,n)$-torsor defined by an $n$-cocycle
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7. The interpretation adjunctions
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8. The interpretation bijections (first conclusions)
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Appendix. Triples, algebras, and tripleability
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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
Review Copy – for publishers of book reviews
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