《Introduction To Topology》求取 ⇩

作者	Solomon Lefschetz 编者
出版	Princeton University Press
参考页数	218 ✅ 真实服务非骗流量 ❤️
出版时间	1949（求助前请核对）目录预览
ISBN号	无 — 违规投诉 / 求助条款
PDF编号	818143258（学习资料勿作它用）
求助格式	扫描PDF（若分多册发行，每次仅能受理1册）

Introduction To Topology 1949 PDF电子版封面 Solomon Lefschetz

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Introduction,a Survey of Some Topological Concepts3

1．Theory of Sets．Topological Spaces3

2．Questions Related to Curves5

3．Polyhedra8

4．Coincidences and Fixed Points14

5．Vector Fields17

6．Integration and Topology19

Chapter Ⅰ．Basic Information about Sets,Spaces,Vectors,Groups26

1．Questions of Notation and Terminology26

2．Euclidean Spaces,Metric Spaces,Topological Spaces28

3．Compact Spaces34

4．Vector Spaces38

5．Products of Sets,Spaces and Groups．Homotopy40

Problems43

Chapter Ⅱ．Two-dimensional Polyhedral Topology45

1．Elements of the Theory of Complexes．Geometric Consideration45

2．Elements of the Theory of Complexes．Modulo Two Theory50

3．The Jordan Curve Theorem61

4．Proof of the Jordan Curve Theorem65

5．Some Additional Properties of Complexes68

6．Closed Surfaces．Generalities72

7．Closed Surfaces．Reduction to a Normal Form83

Problems84

Chapter Ⅲ．Theory of Complexes86

1．Intuitive Approach86

2．Simplexes and Simplicial Complexes87

3．Chains,Cycles,Homology Groups89

4．Geometric Complexes95

5．Calculation of the Betti Numbers．The Euler-Poincaré Characteristic99

6．Relation between Connectedness and Homology103

7．Circuits105

Problems107

Chapter Ⅳ．Transformations of Complexes．Simplicial Approximations and Related Questions110

1．Set-transformations．Chain-mappings110

2．Derivation112

3．The Brouwer Fixed Point Theorem117

4．Simplicial Approximation119

5．The Brouwer Degree124

6．Hopf＇s Classification of Mappings of n-spheres on n-spheres132

7．Some Theorems on the Sphere134

Problems140

Chapter Ⅴ．Further Properties of Homotopy．Fixed Points．Fundamental Group．Homotopy Groups142

1．Homotopy of Chain-mappings142

2．Homology in Polyhedra．Relation to Homotopy148

3．The Lefschetz Fixed Point Theorem for Polyhedra153

4．The Fundamental Group157

5．The Homotopy Groups170

Problems180

Chapter Ⅵ．Introduction to Manifolds．Duality Theorems183

1．Differentiable and Other Manifolds183

2．The Poincare Duality Theorem188

3．Relative Homology Theory195

4．Relative Manifolds and Related Duality Theory(Elementary Theory)．Alexander＇s Duality Theorem202

Problems206

Bibliography208

List of Symbols211

Index213

1949《Introduction To Topology》由于是年代较久的资料都绝版了，几乎不可能购买到实物。如果大家为了学习确实需要，可向博主求助其电子版PDF文件（由Solomon Lefschetz 1949 Princeton University Press 出版的版本）。对合法合规的求助，我会当即受理并将下载地址发送给你。

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