Mathematics Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (0198500300)

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More R. Lowen ¡°Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad"

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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	Science/Engineering Metric Spaces Mícheál Ó Searcóid, "Metric Spaces" Springer; 1 edition (August 10, 2006) \| ISBN: 1846283698 \| 304 pages \| PDF \| 1,7 Mb Mirror -> Mirror:
	Set Theory and Metric Spaces Set Theory and Metric Spaces Publisher: Chelsea Pub Co \| ISBN: 0828402981 \| edition 1977 \| DJVU \| 140 pages \| 1,6 mbThis book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates wi ...
	Nonfiction Real Variables: With Basic Metric Space Topology This is a text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature in their fields. The book tends to avoid standard math ...
	Technical Topological and Metric Spaces, Banach Spaces and Bounded Operators Topological and Metric Spaces, Banach Spaces and Bounded Operators By Leif MejlbroPublisher: Ventus Publishing ApS 2009 \| 96 Pages \| ISBN: 8776815318 \| PDF \| 1 MB1. Topological and metric spaces1.1 Weiertrass' approximation ...
	Technical Optimization on Metric and Normed Spaces Alexander J. Zaslavski, "Optimization on Metric and Normed Spaces" Springer \| 2009 \| ISBN: 0387886214, 0387886206 \| 434 pages \| PDF \| 2,8 MB The monograph is devoted to the study of optimization problems on com-plete metric spaces and ...
	Technical S. Kumaresan - Topology of Metric Spaces S. Kumaresan - Topology of Metric SpacesPublisher: Alpha Science International, Ltd \| 2005-02 \| ISBN: 1842652508 \| DJVU \| 162 pages \| 5.96 MBTopology of Metric Spaces gives a very streamlined development of a course in metric space topology ...

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