A taste of topology

Author(s)

Bibliographic Information

A taste of topology

Volker Runde

(Universitext)

Springer, c2005

  • : pbk

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Note

Includes bibliographical references (p. [169]-170) and index

Description and Table of Contents

Description

This should be a revelation for mathematics undergraduates. Having evolved from Runde's notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde's text treats its material differently to other books on the subject, providing a fresh perspective.

Table of Contents

Preface.- Introduction.- Set Theory.- Metric Spaces.- Set Theoretic Topology.- Systems of Continuous Functions.- Basic Algebraic Topology.- The Classical Mittag-Leffler Theorem Derived from Bourbaki's.- Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces.- The Arzela-Ascoli Theorem.- References.- List of Symbols.- Index.

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Details

  • NCID
    BA7309797X
  • ISBN
    • 038725790X
  • LCCN
    2005924410
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    x, 176 p.
  • Size
    24 cm
  • Parent Bibliography ID
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