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Introduction to Topological Manifolds
Hardcover
Series: Graduate Texts in Mathematics, Book 202
ISBN13: 9781441979391
Publisher: Springer Nature
Published: Dec 28 2010
Pages: 433
Weight: 1.91
Height: 1.13 Width: 6.14 Depth: 9.21
Language: English
This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields.
Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness.
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