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  • Textbook
  • © 1983

Basic Topology

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Part of the book series: Undergraduate Texts in Mathematics (UTM)

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eBook USD 54.99
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  • ISBN: 978-1-4757-1793-8
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Softcover Book USD 69.99
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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
  2. Introduction

    • M. A. Armstrong
    Pages 1-26
  3. Continuity

    • M. A. Armstrong
    Pages 27-42
  4. Compactness and Connectedness

    • M. A. Armstrong
    Pages 43-64
  5. Identification Spaces

    • M. A. Armstrong
    Pages 65-86
  6. The Fundamental Group

    • M. A. Armstrong
    Pages 87-117
  7. Triangulations

    • M. A. Armstrong
    Pages 119-148
  8. Surfaces

    • M. A. Armstrong
    Pages 149-171
  9. Simplicial Homology

    • M. A. Armstrong
    Pages 173-193
  10. Degree and Lefschetz Number

    • M. A. Armstrong
    Pages 195-212
  11. Knots and Covering Spaces

    • M. A. Armstrong
    Pages 213-239
  12. Back Matter

    Pages 241-254

About this book

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.

Keywords

  • Algebraic topology
  • Basic
  • Fundamental group
  • Topologie
  • Topology
  • group theory
  • homology
  • topological invariant

Authors and Affiliations

  • Department of Mathematics, University of Durham, Durham, England

    M. A. Armstrong

Bibliographic Information

  • Book Title: Basic Topology

  • Authors: M. A. Armstrong

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-1793-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1983

  • Hardcover ISBN: 978-0-387-90839-7

  • Softcover ISBN: 978-1-4419-2819-1

  • eBook ISBN: 978-1-4757-1793-8

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XII, 251

  • Number of Illustrations: 56 b/w illustrations

  • Additional Information: Originally published by McGraw-Hill Book Company, Maidenhead, UK, 1979

  • Topics: Topology

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-1-4757-1793-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 69.99
Price excludes VAT (USA)
Hardcover Book USD 64.95
Price excludes VAT (USA)