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Topic: Totally bounded uniform spaces vs proximity spaces (need proof)
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Victor Porton

Posts: 621
Registered: 8/1/05
Totally bounded uniform spaces vs proximity spaces (need proof)
Posted: Mar 7, 2014 3:44 PM
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I've formulated this question:

nLab says "The category of totally bounded uniform spaces
and uniformly continuous functions is equivalent to the
category of proximity spaces and proximally continuous

How to prove this? Maybe, I already have a general topology
book with this proof? Both answers with references and
(better) answers with a complete proof are appreciated.

My conversation about this follows: in the sector
uniform spaces, actually sketches the proof...
? Henno Brandsma Feb 28 at 20:47

@HennoBrandsma: I haven't yet understood, why "These sets
form a base for a totally bounded uniformity on X" at

Victor Porton -

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