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Triangulated Categories.
"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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton : Ewing :
Princeton University Press California Princeton Fulfillment Services [distributor]
Jan. 2001
|
| Colección: | Annals of mathematics studies ;
no. 148. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Neeman, Amnon, |e author. | |
| 245 | 1 | 0 | |a Triangulated Categories. |
| 260 | |a Princeton : |b Princeton University Press |c Jan. 2001 |a Ewing : |b California Princeton Fulfillment Services [distributor] | ||
| 300 | |a 1 online resource (449 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 | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Annals of Mathematics Studies |v Vol. 148 | |
| 521 | |a College Audience |b Princeton University Press. | ||
| 504 | |a Includes bibliographical references (pages 443-444) and index. | ||
| 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. | ||
| 546 | |a In English. | ||
| 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. |
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Triangulated categories. | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 4 | |a Algebra and Number Theory. | |
| 650 | 4 | |a Categorieën (wiskunde) | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Catégories (Mathématiques) | |
| 650 | 4 | |a Kategorie (Mathematik) | |
| 650 | 4 | |a Mathematics. | |
| 650 | 4 | |a Triangulated categories. | |
| 650 | 4 | |a Triangulation. | |
| 650 | 4 | |a Mathematik. | |
| 650 | 6 | |a Catégories (Mathématiques) | |
| 650 | 6 | |a Catégories triangulées. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Abstract. |2 bisacsh | |
| 650 | 7 | |a Categories (Mathematics) |2 fast | |
| 650 | 7 | |a Triangulated categories |2 fast | |
| 650 | 7 | |a Kategorie |g Mathematik |2 gnd | |
| 650 | 7 | |a Triangulation |2 gnd | |
| 650 | 1 | 7 | |a Categorieën (wiskunde) |2 gtt |
| 776 | 0 | 8 | |i Print version: |a Neeman, Amnon. |t Triangulated categories |z 0691086850 |w (DLC) 00051631 |w (OCoLC)45202119 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 148. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7zvcqc |z Texto completo |
| 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. |
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| 938 | |a Internet Archive |b INAR |n triangulatedcate0000neem | ||
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