Topological Properties of Spaces of Continuous Functions

  • Authors
  • Robert A. McCoy
  • Ibula Ntantu

Part of the Lecture Notes in Mathematics book series (LNM, volume 1315)

Table of contents

  1. Front Matter
    Pages I-IV
  2. Robert A. McCoy, Ibula Ntantu
    Pages 1-1
  3. Robert A. McCoy, Ibula Ntantu
    Pages 3-14
  4. Robert A. McCoy, Ibula Ntantu
    Pages 15-38
  5. Robert A. McCoy, Ibula Ntantu
    Pages 39-50
  6. Robert A. McCoy, Ibula Ntantu
    Pages 51-73
  7. Robert A. McCoy, Ibula Ntantu
    Pages 74-105
  8. Back Matter
    Pages 106-124

About this book

Introduction

This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.

Keywords

cardinal function convergence function space functional analysis topology

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0098389
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19302-9
  • Online ISBN 978-3-540-39181-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book