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Subgroups of isometries of Urysohn–Katětov metric spaces of uncountable density

✍ Scribed by Brice R. Mbombo; Vladimir G. Pestov


Book ID
113933691
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
165 KB
Volume
159
Category
Article
ISSN
0166-8641

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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