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Intuitive Combinatorial Topology

  • V. G. Boltyanskiĭ
  • V. A. Efremovich

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xii
  2. V. G. Boltyanskiĭ, V. A. Efremovich
    Pages 1-30
  3. V. G. Boltyanskiĭ, V. A. Efremovich
    Pages 31-80
  4. V. G. Boltyanskiĭ, V. A. Efremovich
    Pages 81-126
  5. Back Matter
    Pages 127-142

About this book

Introduction

Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations.

Keywords

Algebraic topology Homotopy Topology combinatorial topology elementary topology homology

Authors and affiliations

  • V. G. Boltyanskiĭ
    • 1
  • V. A. Efremovich
  1. 1.CIMAT Guanajuato, Gto.Mexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-5604-3
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2882-5
  • Online ISBN 978-1-4757-5604-3
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site