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

McCoy, Robert A.

 
9783540193029: Topological Properties of Spaces of Continuous Functions (Lecture Notes in Mathematics): 1315
Softcover
ISBN 10: 3540193022 ISBN 13: 9783540193029
Verlag: Springer, 1988

Inhaltsangabe

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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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1988
Sprache
Englisch
ISBN 10 
3540193022
ISBN 13 
9783540193029
Einband
Tapa blanda
Anzahl der Seiten
136
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9780387193021: Topological Properties of Spaces of Continuous Functions (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387193022 ISBN 13:  9780387193021
Softcover