From the rear cover
This book is an introduction to manifolds at the beginning graduate level. 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. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition.
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.
This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds. It should be accessible to any student who has completed a solid undergraduate degree in mathematics. The author's book Introduction to Smooth Manifolds is meant to act as a sequel to this book.
Details
- Title Introduction to Topological Manifolds
- Author John Lee
- Binding Hardcover
- Edition Hardback
- Pages 433
- Volumes 1
- Language ENG
- Publisher Springer, china
- Date 2010-12-28
- Features Bibliography, Index, Table of Contents, Textbook
- ISBN 9781441979391 / 1441979395
- Weight 1.91 lbs (0.87 kg)
- Dimensions 9.21 x 6.14 x 1.13 in (23.39 x 15.60 x 2.87 cm)
- Library of Congress subjects Topological manifolds
- Library of Congress Catalog Number 2011287064
- Dewey Decimal Code 514.34
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