Proximity Spaces

Proximity Spaces

by S. A. Naimpally
     
 

ISBN-10: 0521091837

ISBN-13: 9780521091831

Pub. Date: 12/04/2008

Publisher: Cambridge University Press

This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main result being the proof of the existence of the Smirnov

Overview

This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main result being the proof of the existence of the Smirnov compactification using clusters. Chapter 3 discusses the interrelationships between proximity spaces and uniform spaces and contains some of the most interesting results in the theory of proximity spaces. The final chapter introduces the reader to several generalised forms of proximity structures and studies one of them in detail. The bibliography contains over 130 references to the scattered research literature on proximity spaces, in addition to general references.

Product Details

ISBN-13:
9780521091831
Publisher:
Cambridge University Press
Publication date:
12/04/2008
Series:
Cambridge Tracts in Mathematics Series, #59
Pages:
140
Product dimensions:
5.50(w) x 8.40(h) x 0.60(d)

Table of Contents

1. Basic Properties; 2. Compactifications of Proximity Spaces; 3. Proximity and Uniformity; 4. Further Developments.

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