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Simplicial Methods and the Interpretation of ‘Triple’ Cohomology
 
Front Cover for Simplicial Methods and the Interpretation of `Triple' Cohomology
Available Formats:
Electronic 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
Front Cover for Simplicial Methods and the Interpretation of `Triple' Cohomology
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Simplicial Methods and the Interpretation of ‘Triple’ Cohomology
Available Formats:
Electronic 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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 31975; 135 pp
    MSC: 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 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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Volume: 31975; 135 pp
MSC: Primary 18;
  • 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
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