Topological properties of spaces of continuous functions /

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Bibliographic Details
Author / Creator:McCoy, Robert A.
Imprint:Berlin ; New York : Springer-Verlag, ©1988.
Description:1 online resource (iv, 124 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1315
Lecture notes in mathematics (Springer-Verlag) ; 1315.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071218
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Other authors / contributors:Ntantu, Ibula, 1953-
ISBN:9783540391814
3540391819
9780387193021
0387193022
9783540193029
3540193022
Notes:Includes bibliographical references (pages 107-119) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
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Print version record.
Summary: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.
Other form:Print version: McCoy, Robert A., 1942- Topological properties of spaces of continuous functions. Berlin ; New York : Springer-Verlag, ©1988 0387193022