Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : McCoy, Robert A. (1942-....)
Kundu, Subiman
Jindal, Varun
Titre(s) : Function spaces with uniform, fine and graph topologies [Texte électronique] / Robert A. McCoy, Subiman Kundu, Varun Jindal
Publication : Cham : Springer, copyright 2018
Description matérielle : 1 online resource
Collection : SpringerBriefs in mathematics
Lien à la collection : SpringerBriefs in mathematics (Internet)
Note(s) : Bibliogr. p. 101-104
This book presents a comprehensive account of the theory of spaces of continuous functions
under uniform, fine and graph topologies. Besides giving full details of known results,
an attempt is made to give generalizations wherever possible, enriching the existing
literature. The goal of this monograph is to provide an extensive study of the uniform,
fine and graph topologies on the space C(X, Y) of all continuous functions from a
Tychonoff space X to a metric space (Y, d); and the uniform and fine topologies on
the space H(X) of all self-homeomorphisms on a metric space (X, d). The subject matter
of this monograph is significant from the theoretical viewpoint, but also has applications
in areas such as analysis, approximation theory and differential topology. Written
in an accessible style, this book will be of interest to researchers as well as graduate
students in this vibrant research area
Sujet(s) : Espaces fonctionnels
Indice(s) Dewey :
515.73 (23e éd.) = Espaces vectoriels topologiques
Identifiants, prix et caractéristiques : ISBN 9783319770543. - ISBN 3319770543. - ISBN 9783319770536 (erroné). - ISBN 3319770535
(erroné)
Identifiant de la notice : ark:/12148/cb457797556
Notice n° :
FRBNF45779755
(notice reprise d'un réservoir extérieur)
Table des matières : Preface ; Introduction ; 1 Preliminaries ; 2 Metrizability and Completeness Properties
of C? (X, Y) for? = d, f, g ; 3 Cardinal Functions and Countability Properties ;
4 Connectedness and Path Connectedness of C? (X, Y) for a Normed Linear Space Y, where?
= d, f, g. ; 5 Compactness in C? (X, Y) for? = d, f, g. ; 6 Spaces of Homeomorphisms
; Bibliography ; List of Symbols ; Index.
