Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad - Couverture rigide

Lowen, R.

 
9780198500308: Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad
Couverture rigide
ISBN 10 : 0198500300 ISBN 13 : 9780198500308
Editeur : Clarendon Press, 1997

Synopsis

In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three concepts as a special case of the concept of approach spaces. This theory provides an answer to natural questions in the interplay between topological and metric spaces by introducing a uniquely well suited supercategory of TOP and MET. The book explains the richness of approach structures in great detail; it provides a comprehensive explanation of the categorical set-up, develops the basic theory and provides many examples, displaying links with various areas of mathematics such as approximation theory, probability theory, analysis and hyperspace theory.

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Présentation de l'éditeur

In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three concepts as a special case of the concept of approach spaces. This theory provides an answer to natural questions in the interplay between topological and metric spaces by introducing a uniquely well suited supercategory of TOP and MET. The book explains the richness of approach structures in great detail; it provides a comprehensive explanation of the categorical set-up, develops the basic theory and provides many examples, displaying links with various areas of mathematics such as approximation theory, probability theory, analysis and hyperspace theory.

Revue de presse

This book gives a new and complete development of the fundamentals of the theory of approach spaces as originally introduced by the author between 1987 and 1989... an approach structure is the richest structure, overlying the initial topology, which one can preserve when making such initial structures. (L"Enseignement Mathematique)

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

Éditeur
Clarendon Press
Date d'édition
1997
Langue
anglais
ISBN 10 
0198500300
ISBN 13 
9780198500308
Reliure
Relié
Nombre de pages
264
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

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