Introduction to Topological Manifolds

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 di?erential geometry, algebraic topology, and related ?elds. Its guiding philosophy is to develop...

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Main Author: Lee, John M.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 2000, 2000
Edition:1st ed. 2000
Series:Graduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Topological Spaces
  • New Spaces from Old
  • Connectedness and Compactness
  • Simplicial Complexes
  • Curves and Surfaces
  • Homotopy and the Fundamental Group
  • Circles and Spheres
  • Some Group Theory
  • The Seifert-Van Kampen Theorem
  • Covering Spaces
  • Classification of Coverings
  • Homology