Proximity Spaces: 59 (Cambridge Tracts in Mathematics)
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Book Details
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Author: S. A. Naimpally
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Brand: Cambridge University Press
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Binding: Paperback
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Number of Pages: 140
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Release Date: 04-12-2008
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EAN: 9780521091831
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Package Dimensions: 8.3 x 5.4 x 0.4 inches
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Languages: English
About The Book:
This book offers a compact and accessible introduction to the theory of proximity spaces and their generalizations, designed for readers with a basic understanding of topological and uniform spaces, as found in standard textbooks. It covers the fundamentals in two chapters, culminating in the proof of the existence of the Smirnov compactification using clusters.
Chapter 3 delves into the relationships between proximity spaces and uniform spaces, presenting some of the most interesting results in the theory. The final chapter introduces several generalized forms of proximity structures, with one such form studied in detail.
A key feature of this book is its extensive bibliography, which contains over 130 references from the scattered research literature on proximity spaces, as well as general references. The book is an excellent resource for students and researchers interested in the advanced concepts of topology and proximity spaces.