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Topological properties of spaces of continuous functions / Robert A. McCoy, Ibula Ntantu.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1315.Publication details: Berlin ; New York : Springer-Verlag, ©1988.Description: 1 online resource (iv, 124 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540391814
  • 3540391819
Subject(s): Additional physical formats: Print version:: Topological properties of spaces of continuous functions.DDC classification:
  • 515.73 22
LOC classification:
  • QA3 .L28 no. 1315 QA323
Other classification:
  • *54-02
  • 27
  • 31.46
  • 31.60
  • 54A25
  • 54C35
  • 54E52
Online resources:
Contents:
Introduction -- Function Space Topologies -- Natural Functions -- Convergence and Compact Subsets -- Cardinal Functions -- Completeness and Other Properties -- Historical Notes -- Bibliography -- List of Symbols -- Subject Index.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
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.
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Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 107-119) and index.

Introduction -- Function Space Topologies -- Natural Functions -- Convergence and Compact Subsets -- Cardinal Functions -- Completeness and Other Properties -- Historical Notes -- Bibliography -- List of Symbols -- Subject Index.

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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.

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

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