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The category of pointwise S-proximity spaces

✍ Scribed by Fu-Gui Shi


Book ID
108133547
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
333 KB
Volume
152
Category
Article
ISSN
0165-0114

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The KatΔ›tov dimension of proximity space
✍ H. L. Bentley; M. HuΕ‘ek; R. G. Ori πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 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