Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulate
Triangulated Categories
✍ Scribed by Amnon Neeman
- Year
- 2000?
- Tongue
- English
- Leaves
- 453
- Edition
- probably final draft
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Title
Contents
Preface
1. Definition and elementary properties of triangulated categories
2. Triangulated functors and localizations of triangulated categories
3. Perfection of classes
4. Small objects, and Thomason’s localisation theorem
5. The category A(S)
6. The category Ex(S^op, Ab)
7. Homological properties of Ex(S^op, Ab)
8. Brown representability
9. Bousfield localisation
Appendix A. Abelian categories
Appendix B. Homological functors into [AB5^alpha] categories
Appendix C. Counterexamples concerning the abelian category A(T)
Appendix D. Where T is the homotopy category of spectra
Appendix E. Examples of non-perfectly-generated categories
Bibliography
Index
📜 SIMILAR VOLUMES
Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulate
Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulate
Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulate
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