Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Topic: Totally bounded uniform spaces vs proximity spaces (need proof)
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Victor Porton

Posts: 612
Registered: 8/1/05
Totally bounded uniform spaces vs proximity spaces (need proof)
Posted: Mar 7, 2014 3:44 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply



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:

http://ncatlab.org/nlab/show/proximity+space 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 - http://portonvictor.org

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2015. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.