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Topological Properties of Spaces of Continuous Functions

  • Book
  • © 1988

Overview

Authors:
  1. Robert A. McCoy
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  2. Ibula Ntantu
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1315)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-IV
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  2. Introduction

    • Robert A. McCoy, Ibula Ntantu
    Pages 1-1

  3. Function space topologies

    • Robert A. McCoy, Ibula Ntantu
    Pages 3-14

  4. Natural functions

    • Robert A. McCoy, Ibula Ntantu
    Pages 15-38

  5. Convergence and compact subsets

    • Robert A. McCoy, Ibula Ntantu
    Pages 39-50

  6. Cardinal functions

    • Robert A. McCoy, Ibula Ntantu
    Pages 51-73

  7. Completeness and other properties

    • Robert A. McCoy, Ibula Ntantu
    Pages 74-105

  8. Back Matter

    Pages 106-124
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Topological Properties of Spaces of Continuous Functions

  • Authors: Robert A. McCoy, Ibula Ntantu

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0098389

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19302-9Published: 08 June 1988

  • eBook ISBN: 978-3-540-39181-4Published: 08 December 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 130

  • Topics: Topology, Analysis

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