| ISBN | 出版时间 | 包装 | 开本 | 页数 | 字数 |
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Introduction
PART 1. Preliminaries: Basic Homotopy Theory and Nilpotent Spaces
Chapter 1. Cofibrations and fibrations
Chapter 2. Homotopy colimits and homotopy limits; lim^1
Chapter 3. Nilpotent spaces and Postnikov towers
Chapter 4. Detecting nilpotent groups and spaces
PART 2. Localizations of Spaces at Sets of Primes
Chapter 5. Localizations of nilpotent groups and spaces
Chapter 6. Characterizations and properties of localizations
Chapter 7. Fracture theorems for localization: groups
Chapter 8. Fracture theorems for localization: spaces
Chapter 9. Rational H-spaces and fracture theorems
PART 3. Completions of Spaces at Sets of Primes
Chapter 10. Completions of nilpotent groups and spaces
Chapter 11. Characterizations and properties of completions
Chapter 12. Fracture theorems for completion: groups
Chapter 13. Fracture theorems for completion: spaces
PART 4. An Introduction to Model Category Theory
Chapter 14. An introduction to model category theory
Chapter 15. Cofibrantly generated and proper model categories
Chapter 16. Categorical perspectives on model categories
Chapter 17. Model structures on the category of spaces
Chapter 18. Model structures on categories of chain complexes
Chapter 19. Resolution and localization model structures
PART 5. Bialgebras and Hopf Algebras
Chapter 20. Bialgebras and Hopf algebras
Chapter 21. Connected and component Hopf algebras
Chapter 22. Lie algebras and Hopf algebras in characteristic zero
Chapter 23. Restricted Lie algebras and Hopf algebras in characteristic p
Chapter 24. A primer on spectral sequences