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Axiomatic stable homotopy theory
About this Title
Mark Hovey, John H. Palmieri and Neil P. Strickland
Publication: Memoirs of the American Mathematical Society
Publication Year:
1997; Volume 128, Number 610
ISBNs: 978-0-8218-0624-1 (print); 978-1-4704-0195-5 (online)
DOI: https://doi.org/10.1090/memo/0610
MathSciNet review: 1388895
MSC: Primary 55U35; Secondary 18E30, 18G35, 55N20, 55P42, 55P60, 55U15
Table of Contents
Chapters
- 1. Introduction and definitions
- 2. Smallness, limits and constructibility
- 3. Bousfield localization
- 4. Brown representability
- 5. Nilpotence and thick subcategories
- 6. Noetherian stable homotopy categories
- 7. Connective stable homotopy theory
- 8. Semisimple stable homotopy theory
- 9. Examples of stable homotopy categories
- 10. Future directions