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Topics in Topology

  • Book
  • © 1997

Overview

Authors:
  1. Stevo Todorcevic
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1652)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Compact sets in function spaces

    • Stevo Todorcevic
    Pages 1-60

  3. The semigroup βℕ

    • Stevo Todorcevic
    Pages 61-78

  4. Compact and compactly generated groups

    • Stevo Todorcevic
    Pages 79-120

  5. Hyperspaces

    • Stevo Todorcevic
    Pages 121-147

  6. Back Matter

    Pages 149-153
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Keywords

About this book

The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.

Bibliographic Information

  • Book Title: Topics in Topology

  • Authors: Stevo Todorcevic

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0096295

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62611-4Published: 20 March 1997

  • eBook ISBN: 978-3-540-68338-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 160

  • Topics: Topology, Topological Groups, Lie Groups, Real Functions

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