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Triangulated Categories. (AM-148), Volume 148
"The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Ewing :
California Princeton Fulfillment Services [distributor]
Jan. 2001
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Neeman, Amnon, |e author. | |
| 245 | 1 | 0 | |a Triangulated Categories. (AM-148), Volume 148 |
| 264 | 1 | |a Ewing : |b California Princeton Fulfillment Services [distributor] |c Jan. 2001 | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©Jan. 2001 | |
| 300 | |a 1 online resource: |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 | 0 | |a Annals of Mathematics Studies |v Vol. 148 | |
| 505 | 0 | 0 | |t Definition and elementary properties of triangulated categories -- |t Triangulated functors and localizations of tringulated categories -- |t Perfection of classes -- |t Small objects, and Thomason's localisation theorem -- |t Category A(S) -- |t Category Ex(Sop, Ab) -- |t Homological properties of Ex(Sop, Ab) -- |t Brown representability -- |t Bousfield localisation. |
| 520 | |a "The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--The "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics"--Publisher description. | ||
| 521 | |a College Audience |b Princeton University Press. | ||
| 546 | |a In English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 1 | 7 | |a Categorieën (wiskunde) |2 gtt |
| 650 | 7 | |a Triangulation |2 gnd | |
| 650 | 7 | |a Kategorie |g Mathematik |2 gnd | |
| 650 | 7 | |a Triangulated categories. |2 fast |0 (OCoLC)fst01762426 | |
| 650 | 7 | |a Categories (Mathematics) |2 fast |0 (OCoLC)fst00849000 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Abstract. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 6 | |a Categories triangulees. | |
| 650 | 6 | |a Categories (Mathematiques) | |
| 650 | 4 | |a Mathematik. | |
| 650 | 4 | |a Triangulation. | |
| 650 | 4 | |a Triangulated categories. | |
| 650 | 4 | |a Mathematics. | |
| 650 | 4 | |a Kategorie (Mathematik) | |
| 650 | 4 | |a Categories (Mathematiques) | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Categorieën (wiskunde) | |
| 650 | 4 | |a Algebra and Number Theory. | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 0 | |a Triangulated categories. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 880 | 0 | 0 | |6 505-00/(S |t Definition and elementary properties of triangulated categories -- |t Triangulated functors and localizations of tringulated categories -- |t Perfection of classes -- |t Small objects, and Thomason's localisation theorem -- |t Category A(S) -- |t Category Ex(S[superscript op], Ab) -- |t Homological properties of Ex(S[superscript op], Ab) -- |t Brown representability -- |t Bousfield localisation -- |g Appendix A. |t Abelian categories -- |g Appendix B. |t Homological functors into [AB5[superscript infinity]] categories -- |g Appendix C. |t Counterexamples concerning the abelian category A(Τ) -- |g Appendix D. |t Where Τ is the homotopy category of spectra -- |g Appendix E. |t Examples of non-perfectly-generated categories -- |g Bibliography -- |g Index. |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/34690/ |
| 945 | |a Project MUSE - Custom Collection | ||