Topological Properties of Spaces of Continuous Functions (Lecture Notes in Mathematics) - Couverture souple

McCoy, Robert A.

 
9783540193029: Topological Properties of Spaces of Continuous Functions (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 3540193022 ISBN 13 : 9783540193029
Editeur : Springer, 1988

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
1988
Langue
anglais
ISBN 10 
3540193022
ISBN 13 
9783540193029
Reliure
Broché
Nombre de pages
136
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780387193021: Topological Properties of Spaces of Continuous Functions

Edition présentée

ISBN 10 :  0387193022 ISBN 13 :  9780387193021
Couverture souple