代数拓扑简明教程(第2卷)
本书特色
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《代数拓扑简明教程（第1卷）》里包含了代数拓扑学的入门知识，如基本群、覆叠空间、同伦、同调和上同调等，这本《代数拓扑简明教程 （第2卷）》里则介绍了更多标准代数拓扑教科书通常没有提及的重要内容，如拓扑空间的局部化与完备化、模型范畴、Hopf代数等。
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内容简介
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《代数拓扑简明教程（卷）》里包含了代数拓扑学的入门知识，如基本群、覆叠空间、同伦、同调和上同调等，这本《代数拓扑简明教程（第2卷）》里则介绍了更多标准代数拓扑教科书通常没有提及的重要内容，如拓扑空间的局部化与完备化、模型范畴、Hopf代数等。
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作者简介
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乔·彼得·梅（Jon Peter May）是美国著名数学家，芝加哥大学教授，研究领域为代数拓扑与范畴论，他是抽象同伦论的先驱之一，提出了operads以及梅谱序列。凯思琳·庞托（Kathleen Ponto）是美国肯塔基大学教授。
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目录
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
封面
书名:代数拓扑简明教程(第2卷)
作者:乔·彼得·梅，凯思琳·庞托
页数:0
定价:¥79.0
出版社:世界图书出版公司
出版日期:2018-03-01
ISBN:9787519266424
PDF电子书大小:108MB 高清扫描完整版