Approach Spaces : The Missing Link in the Topology-Uniformity-Metric Triad by Lowen, R.

 ISBN: 9780198500308

Oxford University Press, 21 August 1997

Hardback, 264 pages 

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 super category 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.