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Dynamic Topology

  • Textbook
  • © 1979

Overview

Authors:
  1. Gordon Whyburn

    1. DePartment of Mathematics, University of Virginia, Charlottesville, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Edwin Duda

    1. DePartment of Mathematics, University of Miami, Coral Gables, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Part A

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Sets and Operations with Sets

      • Gordon Whyburn, Edwin Duda
      Pages 3-5

    3. Spaces

      • Gordon Whyburn, Edwin Duda
      Pages 6-11

    4. Directed Families

      • Gordon Whyburn, Edwin Duda
      Pages 12-13

    5. Compact Sets and Bolzano-Weierstrass Sets

      • Gordon Whyburn, Edwin Duda
      Pages 14-16

    6. Functions

      • Gordon Whyburn, Edwin Duda
      Pages 17-21

    7. Metric Spaces and a Metrization Theorem

      • Gordon Whyburn, Edwin Duda
      Pages 22-27

    8. Diameters and Distances

      • Gordon Whyburn, Edwin Duda
      Pages 28-30

    9. Topological Limits

      • Gordon Whyburn, Edwin Duda
      Pages 31-32

    10. Relativization

      • Gordon Whyburn, Edwin Duda
      Pages 33-33

    11. Connected Sets

      • Gordon Whyburn, Edwin Duda
      Pages 34-37

    12. Connectedness of Limit Sets and Separations

      • Gordon Whyburn, Edwin Duda
      Pages 38-40

    13. Continua

      • Gordon Whyburn, Edwin Duda
      Pages 41-42

    14. Irreducible Continua and a Reduction Theorem

      • Gordon Whyburn, Edwin Duda
      Pages 43-44

    15. Locally Connected Sets

      • Gordon Whyburn, Edwin Duda
      Pages 45-47

    16. Property S and Uniformly Locally Connected Sets

      • Gordon Whyburn, Edwin Duda
      Pages 48-50

    17. Functions and Mappings

      • Gordon Whyburn, Edwin Duda
      Pages 51-54

    18. Complete Spaces

      • Gordon Whyburn, Edwin Duda
      Pages 55-58

    19. First Semester Examination

      • Gordon Whyburn, Edwin Duda
      Pages 59-65
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Keywords

About this book

It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here than in any other source that I know. Nor is this a text of the customary sort. It is rather a record of a particular course and Gordon Whyburn's special method of teaching it. Perhaps the easiest way to describe the course and the method is to relate my own personal experience with a forerunner of this same course in the academic year 1937-1938. At that time, the course was offered every other year with a following course in algebraic topology on alternate years. There were five of us enrolled, and on the average we knew less mathematics than is now routinely given in a junior course in analysis. Whyburn's purpose, as we learned, was to prepare us in minimal time for research in the areas in which he was inter­ ested. His method was remarkable.

Authors and Affiliations

  • DePartment of Mathematics, University of Virginia, Charlottesville, USA

    Gordon Whyburn

  • DePartment of Mathematics, University of Miami, Coral Gables, USA

    Edwin Duda

Bibliographic Information

  • Book Title: Dynamic Topology

  • Authors: Gordon Whyburn, Edwin Duda

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-6262-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1979

  • Softcover ISBN: 978-1-4684-6264-7Published: 13 March 2012

  • eBook ISBN: 978-1-4684-6262-3Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XII, 154

  • Topics: Topology

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