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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| 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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| 001 | EBOOKCENTRAL_ocn851085998 | ||
| 003 | OCoLC | ||
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| 049 | |a UAMI | ||
| 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 | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 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 | |
| 776 | 0 | 8 | |i Print version: |a Duskin, John Williford, 1937- |t Simplicial methods and the interpretation of "triple" cohomology / |x 0065-9266 |z 9780821818633 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 163. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113484 |z Texto completo |
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