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The Katětov-Morita theorem for the dimension of metric frames

✍ Scribed by D. Brijlall; D. Baboolal


Book ID
107690510
Publisher
Indian National Science Academy
Year
2010
Tongue
English
Weight
177 KB
Volume
41
Category
Article
ISSN
0019-5588

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The Katětov dimension of proximity space
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An analogue of Kat~tov's theorem on the equality between the dimension of a Tychonov space and the analytic dimension of its ring of bounded real-valued continuous maps is established for proximity spaces and proximally continuous maps by an internal method of proof. A new kind of filter, called pro