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Home > Mathematics and Science Textbooks > Mathematics > Topology > Algebraic topology > Topology and Geometry: (v. 139 Graduate Texts in Mathematics)
Topology and Geometry: (v. 139 Graduate Texts in Mathematics)

Topology and Geometry: (v. 139 Graduate Texts in Mathematics)


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About the Book

This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.

Table of Contents:
Preface; 1. General Topology; 2. Diferentiable Manifolds; 3. 1= 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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Product Details
  • ISBN-13: 9783540979265
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 216 mm
  • Weight: 940 gr
  • ISBN-10: 3540979263
  • Publisher Date: /06/1993
  • Binding: Hardback
  • Series Title: v. 139 Graduate Texts in Mathematics
  • Width: 138 mm


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Topology and Geometry: (v. 139 Graduate Texts in Mathematics)
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Topology and Geometry: (v. 139 Graduate Texts in Mathematics)
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