Introduction to Topological Manifolds

• Main Author: Lee, John M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2000.
• Series: Graduate Texts in Mathematics, 202
• Subjects: Mathematics.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

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...

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.