Proximity spaces
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…
Read More ↓Title Statements
- Full title :Proximity spaces / S.A. Naimpally and B.D. Warrack.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2008.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2008.
Notes
Originally published: 1970.
The Physical Object
- Description:x, 128 pages ; : 22 cm.
Edition Identifiers
- ISBN:9780521091831, 0521091837, 9780521079358, 0521079357
- oclc:ocn244767433
- LC Classification:QA611.24
- Dewey Decimal:514.323
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