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Topic:
Prove that continuous function on a compact is uniformly continuous
Replies:
3
Last Post:
Feb 7, 2014 9:56 AM




Prove that continuous function on a compact is uniformly continuous
Posted:
Feb 6, 2014 10:55 AM


I am now looking theorem 2 in paragraph 4.1 of:
Bourbaki. "Elements of Mathematics General Topology. Part 1".
THEOREM 2. Every continuous mapping f of a compact space X into a uniform space X' is uniformly continuous.
Now I realize that I don't understand the proof.
Could you present me a more detailed proof?
 Victor Porton  http://portonvictor.org



