| 本书是代数学基本观点的一个很好的展示。作者写这本书的想法来源于1955年他在芝加哥大学的演讲。从那时到现在代数学经历了很大的发展,该书的思想也是一直在更新,现在的这个版本是原版的修订版,称得上是一本真正的现代代数拓扑学。既可以作为教科书,也是一本很好的参考书。 |
| INTRODUCTION 1 Set theory 2 General topology 3 Group theory 4 Modules 5 Euclidean spaces 1 HOMOTOPy AND THE FUNDAMENTAL GROUP 1 Categories 2 Functors 3 Homotopy 4 Retraction and deforma 5 H spaces 6 Suspension 7 The fundamental groupoid 8 The fundamental group Exercises 2 COVERING SPACES AND FIHHATIONS 1 Covering protections 2 The homotopy lifting property 3 Relations with the fundamental group 4 The lifting problem 5 The classification of covering protections 6 Covering transformations 7 Fiber bundles 8 Fibrations Exercises 3 POLYBEDHA 1 Simplicial complexes 2 Linearity in simpltctal complexes 3 Subdivi |
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