A continuous map from a T2 & compact space to a uniform space is uniformly continuous. - MathOverflow most recent 30 from http://mathoverflow.net2013-06-19T17:08:17Zhttp://mathoverflow.net/feeds/question/81201http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/81201/a-continuous-map-from-a-t2-compact-space-to-a-uniform-space-is-uniformly-continA continuous map from a T2 & compact space to a uniform space is uniformly continuous.Alan2011-11-17T20:53:04Z2011-11-17T20:53:04Z
<p>Can you recommend some literature that give a proof of this statement, and who allegedly prove it first?</p>
<p>BTW, is there any use of uniform spaces or topological spaces in mathematical (or theoretical) physics?</p>
<p>Thanks.</p>