拓扑流形引论
2003-6
北京世界图书出版公司
J.M.Lee
385
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本书以英文的形式介绍了拓扑流形引论的内容。
Preface1 Introduction What Are Manifolds? Why Study Manifolds?2 Topologiacl Spaces Topologies Bases Manifolds Problems3 New Spaces form Old Subspaces Product Spaces Quotient Spaces Group Actions Problems4 Connectedness and Compactness Connectedness Compactness Locally Compact Hausdorff Spaces Problems5 Simplicial Complexes Euclidean Simplicial Complexes Abstract Simplicial Complexes Triangulation Theorems Orientations Combinatorial Invariants Problems6 Curves and Surfaces Classification of Curves Surfaces Connected Sums Polygonal Presentations of Surfaces Classification of Surface Presentations Combinatorial Invariants Problems7 Homotopy and the Fundamental Group Homotopy The Fundamental Group Homomorphisma Induced by Continuous Maps ……8 Circles and Spheres9 Some Group Theory10 The Seifert-Van Kampen Theorem11 Covering Spaces12 Classification of Coverings13 HomologyAppendix：Review of PrerequisitesReferencesIndex
This book is an introduction to manifolds at the beginning graduate level:It contains the essential topological ideas that are needed for the furtherstudy of manifolds, particularly in the context of differential geometry,algebraic topology, and related fields￡?Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Here at the University of Washington, for example, this text is used for the first third of a year-long course on the geometry and topology of anifolds; the remaining two-thirds focuses on smooth manifolds.
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书是不错，送货也很快，非常满意。这是本非常好的拓扑书，是光滑流形那本经典书的基础
印刷不错，内容不错，性价比很高
这套书非常好呦，大朋友，小朋友都可以看
看了一半，很不错
其实就是代数拓扑导论，不过还是赞一下，lee写书还是非常详细的，比armstrong那本详细多了。
LEE 的三本流形书之一。好书。