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基本信息
书名:代数拓扑导论
定价:50.00元
作者:(美)罗曼 著
出版社:世界图书出版公司
出版日期:2009_08_01
ISBN:9787506282802
字数:
页码:
版次:1
装帧:平装
开本:24开
商品重量:
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内容提要
目录
Preface
To the Reader
CHAPTER 0 Introduction
Notation
Brouwer Fixed Point Theorem
Categories and Functors
CHAPTER 1 Some Basic Topological Notions
Homotopy
Convexity, Contractibility, and Cones
Paths and Path Connectedness
CHAPTER 2 Simplexes
Affine Spaces
Aftine Maps
CHAPTER 3 The Fundamental Group
The Fundamental Groupoid
The Functor π
π1(S1)
CHAPTER 4 Singular Homology
Holes and Green's Theorem
Free Abelian Groups
The Singular Complex and Homology Functors
Dimension Axiom and Compact Supports
The Homotopy Axiom
The Hurewicz Theorem
CHAPTER 5 Long Exact Sequences
The Category Comp
Exact Homology Sequences
Reduced Homology
CHAPTER 6 Excision and Applications
Excision and Mayer_Vietoris
Homology of Spheres and Some Applications
Barycentric Subdivision and the Proof of Excision
Moxe Applications to Euclidean Space
CHAPTER 7 Simplicial Complexes
Definitions
Simplicial Approximation
Abstract Simplicial Complexes
Simplicial Homology
Comparison with Singular Homology
Calculations
Fundamental Groups of Polyhedra
The Seifert_van Kampen Theorem
CHAPTER 8 CW Complexes
Hausdorff Quotient Spaces
Attaching Calls
Homology and Attaching Cells
CW Complexes
Cellular Homology
CHAPTER 9 Natural Transformations
Definitions and Examples
Eilenberg_Steenrod Axioms
……
CHAPTER 10 Covering Spaces
CHAPTER 11 Homotopy Groups
CHPATER 12 Cohomology
Bibliography
Notation
Index
作者介绍
序言
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