Lecture Notes in Mathematics

Topological Properties of Spaces of Continuous Functions

Authors: McCoy, Robert A., Ntantu, Ibula

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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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $29.99
price for USA in USD
  • ISBN 978-3-540-39181-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
  • Institutional customers should get in touch with their account manager
Softcover $39.95
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Topological Properties of Spaces of Continuous Functions
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1315
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39181-4
DOI
10.1007/BFb0098389
Softcover ISBN
978-3-540-19302-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VI, 130
Topics