Topological Properties of Spaces of Continuous Functions

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 theore...

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Autori principali: McCoy, Robert A., 1942-, Ntantu, Ibula, 1953- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1315
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Edition sous un autre format:• Topological properties of spaces of continuous functions, Robert A. McCoy, Ibula Ntantu, 1988, Berlin, Springer-Verlag, 1 volume (IV-124 pages), Lecture notes in mathematics, 0-387-19302-2
• Topological Properties of Spaces of Continuous Functions, Texte imprimé, 9783662169346
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Riassunto: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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ISBN:9783540391814 (PDF)
ISSN:1617-9692
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