代数拓扑简明教程（第2卷）
作者：乔·彼得·梅，凯思琳·庞托
出版社：世界图书出版公司
出版时间：2019-09-01
ISBN：9787519266424
定价：¥79.00
Introduction
\nPART 1. Preliminaries: Basic Homotopy Theory and Nilpotent Spaces
\nChapter 1. Cofibrations and fibrations
\nChapter 2. Homotopy colimits and homotopy limits; lim^1
\nChapter 3. Nilpotent spaces and Postnikov towers
\nChapter 4. Detecting nilpotent groups and spaces
\nPART 2. Localizations of Spaces at Sets of Primes
\nChapter 5. Localizations of nilpotent groups and spaces
\nChapter 6. Characterizations and properties of localizations
\nChapter 7. Fracture theorems for localization: groups
\nChapter 8. Fracture theorems for localization: spaces
\nChapter 9. Rational H-spaces and fracture theorems
\nPART 3. Completions of Spaces at Sets of Primes
\nChapter 10. Completions of nilpotent groups and spaces
\nChapter 11. Characterizations and properties of completions
\nChapter 12. Fracture theorems for completion: groups
\nChapter 13. Fracture theorems for completion: spaces
\nPART 4. An Introduction to Model Category Theory
\nChapter 14. An introduction to model category theory
\nChapter 15. Cofibrantly generated and proper model categories
\nChapter 16. Categorical perspectives on model categories
\nChapter 17. Model structures on the category of spaces
\nChapter 18. Model structures on categories of chain complexes
\nChapter 19. Resolution and localization model structures
\nPART 5. Bialgebras and Hopf Algebras
\nChapter 20. Bialgebras and Hopf algebras
\nChapter 21. Connected and component Hopf algebras
\nChapter 22. Lie algebras and Hopf algebras in characteristic zero
\nChapter 23. Restricted Lie algebras and Hopf algebras in characteristic p
\nChapter 24. A primer on spectral sequences
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