Topology and geometry
著者
書誌事項
Topology and geometry
(Graduate texts in mathematics, 139)
Springer-Verlag, c1993
- : gw
- : us
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注記
Includes bibliographical references (p. 541-543) and indexes
内容説明・目次
- 巻冊次
-
: us ISBN 9780387979267
内容説明
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
目次
- 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
- 巻冊次
-
: gw ISBN 9783540979265
内容説明
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.
目次
- 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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