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Topics in Topology

  • Authors
  • Stevo Todorcevic

Part of the Lecture Notes in Mathematics book series (LNM, volume 1652)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Stevo Todorcevic
    Pages 1-60
  3. Stevo Todorcevic
    Pages 61-78
  4. Stevo Todorcevic
    Pages 79-120
  5. Stevo Todorcevic
    Pages 121-147
  6. Back Matter
    Pages 149-153

About this book

Introduction

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.

Keywords

Homeomorphism compact groups function spaces hyperspaces topological dynamics

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096295
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62611-4
  • Online ISBN 978-3-540-68338-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site