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Introduction to Topological Manifolds

by

Introduction to Topological Manifolds Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Extensively revised and updated, this volume provides

About the Author

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.

Table of Contents

Preface.- 1 Introduction.- 2 Topological Spaces.- 3 New Spaces from Old.- 4 Connectedness and Compactness.- 5 Cell Complexes.- 6 Compact Surfaces.- 7 Homotopy and the Fundamental Group.- 8 The Circle.- 9 Some Group Theory.- 10 The Seifert-Van Kampen Theorem.- 11 Covering Maps.- 12 Group Actions and Covering Maps.- 13 Homology.- Appendix A: Review of Set Theory.- Appendix B: Review of Metric Spaces.- Appendix C: Review of Group Theory.- References.- Notation Index.- Subject Index.

Product Details

ISBN:
9781441979391
Author:
Lee, John M.
Publisher:
Springer
Author:
Lee, John
Subject:
Topology
Subject:
Cell complexes
Subject:
Covering spaces
Subject:
Homology
Subject:
Surfaces
Subject:
The fundamental group
Subject:
Topological spaces
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Algebraic topology
Subject:
MATHEMATICS / Topology
Copyright:
Edition Description:
2nd Edition.
Series:
Graduate Texts in Mathematics
Series Volume:
202
Publication Date:
20101228
Binding:
HARDCOVER
Language:
English
Pages:
452
Dimensions:
235 x 155 mm 1780 gr

Related Subjects

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Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Topology

Introduction to Topological Manifolds New Hardcover
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Product details 452 pages Springer - English 9781441979391 Reviews:
"Synopsis" by , Extensively revised and updated, this volume provides
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