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Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs) - Hardcover
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 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 theory makes it possible to equip initial structures of metricizable topological spaces with a canonical structure, preserving the numerical information of the metrics. It provides a solid basis for approximation theory, turning ad hoc notions into canonical concepts, and it unifies topological and metric notions. 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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About the Author
R. Lowen is at University of Antwerp.
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APPROACH SPACES: THE MISSING LINK IN THE TOPOLOGY, UNIFORMITY, METRIC TRIAD
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Oxford University Press, Oxford and New York, 1997
ISBN 10: 0198500300
ISBN 13: 9780198500308
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Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs)
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Approach Spaces
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Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs)
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Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs)
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Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (eng)
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Approach Spaces (Hardcover)
Published by
Oxford University Press, Oxford, 1997
ISBN 10: 0198500300
ISBN 13: 9780198500308
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Hardcover. Condition: new. Hardcover. 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 therichness 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 variousareas of mathematics such as approximation theory, probability theory, analysis and hyperspace theory. 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 developed previously by the author in a number of research articles. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198500308
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Approach Spaces (Hardcover)
Published by
Oxford University Press, Oxford, 1997
ISBN 10: 0198500300
ISBN 13: 9780198500308
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Hardcover
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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 therichness 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 variousareas of mathematics such as approximation theory, probability theory, analysis and hyperspace theory. 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 developed previously by the author in a number of research articles. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198500308
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