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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Duskin, John Williford,  |d 1937- 
245 1 0 |a Simplicial methods and the interpretation of "triple" cohomology /  |c J. Duskin. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 1975. 
300 |a 1 online resource (v, 135 pages) :  |b illustrations 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 163 
504 |a Includes bibliographical references (pages 132-135). 
505 0 0 |t Introduction --  |t Simplicial objects in categories --  |t Simplicial and cotriple cohomology --  |t [italic capital]U-split augmented complexes and the standard resolution --  |t Homotopy representability of simplicial and cotriple cohomology : the Eilenberg-Mac Lane complexes [italic capital]K([capital Greek]Pi, [script]n) --  |t [italic capital]K([capital Greek]Pi, [script]n)-torsors --  |t The characteristic cocycle mapping [italic capital]Z [script]n [over] [double-struck capital]G --  |t Standard [italic capital]K([capital Greek]Pi, [script]n)-torsor defined by an [script]n-cocycle --  |t The interpretation adjunctions --  |t The interpretation bijections (first conclusions) --  |g Appendix.  |t Triples, algebras, and tripleability. 
520 |a 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 in topology. As the author states, the use of triples has yielded a tremendous unification of a variety of cohomology theories. In addition to the algebraic theories above there are Hochschild and Shukla's cohomology of associative algebras, Harrison's and the Andre-Quillen cohomology of commutative rings, and classical Čech cohomology for a general discussion. 
588 0 |a Print version record. 
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650 0 |a Categories (Mathematics) 
650 0 |a Triples, Theory of. 
650 0 |a Complexes, Semisimplicial. 
650 0 |a Homology theory. 
650 6 |a Catégories (Mathématiques) 
650 6 |a Théorie des triples. 
650 6 |a Complexes semi-simpliciaux. 
650 6 |a Homologie. 
650 7 |a Categories (Mathematics)  |2 fast 
650 7 |a Complexes, Semisimplicial  |2 fast 
650 7 |a Homology theory  |2 fast 
650 7 |a Triples, Theory of  |2 fast 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 163.  |x 0065-9266 
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