Topological Properties of Spaces of Continuous Functions / by Robert A. McCoy, Ibula Ntantu.

Format:

Book

Author/Creator:

McCoy, Robert A., author.

Ntantu, Ibula, 1953- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1315.

Lecture Notes in Mathematics, 0075-8434 ; 1315

Language:

English

Subjects (All):

Topology.

Global analysis (Mathematics).

Analysis.

Local Subjects:

Topology.

Analysis.

Physical Description:

1 online resource (VI, 130 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

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.

Contents:

Function space topologies

Natural functions

Convergence and compact subsets

Cardinal functions

Completeness and other properties.

Other Format:

Printed edition:

ISBN:

9783540391814

Access Restriction:

Restricted for use by site license.