Introduction to Topological Manifolds (Graduate Texts in Mathematics #940) (Paperback)

Introduction to Topological Manifolds (Graduate Texts in Mathematics #940) By John Lee Cover Image

Introduction to Topological Manifolds (Graduate Texts in Mathematics #940) (Paperback)


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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.

John M. Lee is a professor of mathematics at the University of Washington. His previous Springer textbooks in the Graduate Texts in Mathematics series include the first edition of Introduction to Topological Manifolds, Introduction to Smooth Manifolds, and Riemannian Manifolds: An Introduction.
Product Details ISBN: 9781461427902
ISBN-10: 1461427908
Publisher: Springer
Publication Date: January 25th, 2013
Pages: 433
Language: English
Series: Graduate Texts in Mathematics