Topology and Geometry / Edition 1

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This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory.

From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS

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Editorial Reviews

Intended as a textbook for a first-year graduate course on algebraic topology, with a strong flavoring in smooth manifold theory. Starting with general topology, discusses differential manifolds, cohomology, products and duality, the fundamental group, homology theory, homeotropy theory, surfaces, Lie groups, and baby bundle theory. Problems follow each section. Annotation c. Book News, Inc., Portland, OR (
From the Publisher

G.E. Bredon

Topology and Geometry

"An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."—MATHEMATICAL REVIEWS

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Product Details

  • ISBN-13: 9780387979267
  • Publisher: Springer New York
  • Publication date: 6/24/1993
  • Series: Graduate Texts in Mathematics Series, #139
  • Edition description: 1st Corrected ed. 2002. Corr. 3rd printing 1997
  • Edition number: 1
  • Pages: 557
  • Sales rank: 470,462
  • Product dimensions: 6.10 (w) x 9.30 (h) x 1.50 (d)

Table of Contents

Preface; 1. General Topology; 2. Diferentiable Manifolds; 3. Fundamental Group; 4. Homology Theory; 5. Cohomology; 6. Products and Duality; 7. Homotopy Theory; Appendices A-E; Bibliography; Index of Symbols; Index
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