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OverviewIn 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. Full Product DetailsAuthor: R. Lowen (, University of Antwerp, Belgium)Publisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 16.20cm , Height: 1.90cm , Length: 24.20cm Weight: 0.514kg ISBN: 9780198500308ISBN 10: 0198500300 Pages: 264 Publication Date: 26 June 1997 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsSymbols; 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; BibliographyReviews`This book is a landmark in the history of general topology...The book is carefully written...The book deserves a place on the shelves of mathematicians, especially topologists, who are interested in fundamentals.' S.A.Naimpally, Mathematical Reviews 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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