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Book cover
  • Textbook
  • © 1983

Basic Topology

Authors:

  1. M. A. Armstrong

    1. Department of Mathematics, University of Durham, Durham, England

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
    PDF

  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
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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.
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Keywords

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Authors and Affiliations

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

    M. A. Armstrong

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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: 978-0-387-90839-7Published: 05 July 1983

  • Softcover ISBN: 978-1-4419-2819-1Published: 01 December 2010

  • eBook ISBN: 978-1-4757-1793-8Published: 09 April 2013

  • 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

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Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 64.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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