Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Can you recommend some literature that give a proof of this statement, and who allegedly prove it first?

BTW, is there any use of uniform spaces or topological spaces in mathematical (or theoretical) physics?


share|cite|improve this question
I think you can find this in Kelley's General topology. – Benjamin Steinberg Nov 17 '11 at 20:57
It is in the general topology book of Bourbaki. If that is not the first published proof, it is probably in the paper of Andre Weil that introduced uniform space as entourages. – Michael Greinecker Nov 17 '11 at 21:27

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.