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

Lowen, R.

Rilegato

ISBN 10: 0198500300 ISBN 13: 9780198500308

Casa editrice: Clarendon Press, 1997

Riassunto

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.

Su questo libro

Recensione

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)

Contenuti

• Symbols
• Preface
• 1: Approach Spaces
• 2: Topological Approach Spaces
• 3: Metric Approach Spaces
• 4: Uniform Approach Spaces
• 5: Canonical Examples
• 6: Approach Properties
• 7: Completion
• 8: Compactification
• Appendix A
• Appendix B
• Index
• Bibliography

Dettagli dell'edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0198500300
• ISBN 13: 9780198500308
• Rilegatura: Copertina rigida
• Numero di pagine: 264
• Contatto del produttore: non disponibile
• Persona responsabile: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; D02 YH68; Irlanda