Simplicial methods and the interpretation of "triple" cohomology /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Duskin, John Williford, 1937-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 1975.
Colección:Memoirs of the American Mathematical Society ; no. 163.
Temas:
Categories (Mathematics)
Triples, Theory of.
Complexes, Semisimplicial.
Homology theory.
Catégories (Mathématiques)
Théorie des triples.
Complexes semi-simpliciaux.
Homologie.
Complexes, Semisimplicial
Homology theory
Triples, Theory of
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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