Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

By:

R. Lowen

Format:

Hardback

Series:

Oxford Mathematical Monographs

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Description

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.

Release date NZ

June 26th, 1997

Author

R. Lowen

Audience

Professional & Vocational

Illustrations

line figures

Pages

264

Series

Oxford Mathematical Monographs

Dimensions

162x242x19

ISBN-13

9780198500308

Product ID

2008098

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