Topological Properties of Spaces of Continuous Functions (Lecture Notes in Mathematics): 1315 - Brossura

McCoy, Robert A.

Brossura

ISBN 10: 3540193022 ISBN 13: 9783540193029

Casa editrice: Springer, 1988

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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Contenuti

Function space topologies.- Natural functions.- Convergence and compact subsets.- Cardinal functions.- Completeness and other properties.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540193022
• ISBN 13: 9783540193029
• Rilegatura: Copertina flessibile
• Numero di pagine: 136
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