ENGLISH

Introduction to Topological Manifolds

By John M. Lee (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2011
ISBN
9780387950266, 9780387987590, 0387950265, 0387987592, 9780387227276
DOI
10.1007/978-1-4419-7940-7
Open Library ID
OL7448676M
Language
english
Format
DJVU
Filesize
3 MB (3110525 bytes)
Series
Graduate Texts in Mathematics 202
Edition
2
Pages
433\406
Library
Kolxo3
DPI
400
Time added
2009-07-20 03:45:11
Manifolds and Cell Complexes (incl. Diff.Topology)

Description

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.

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