The Katětov dimension of proximity space
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H. L. Bentley; M. Hušek; R. G. Ori
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Article
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1996
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Springer
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English
⚖ 727 KB
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