Topology and geometry

著者

• Bredon, Glen E.

書誌事項

Topology and geometry

Glen E. Bredon

（Graduate texts in mathematics, 139）

Springer-Verlag, c1993

• : gw
• : us

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA20434925
• ISBN:
  • 3540979263
  • 0387979263
• LCCN: 92031618
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xiv, 557 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA612
  • DC20 : 514/.2
  • NDC8 : 415.7
• 件名:
  • LCSH : Algebraic topology
• 親書誌ID:
  • BA00010074