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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

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Victor Porton

Posts: 522
Registered: 8/1/05
Prove that continuous function on a compact is uniformly continuous
Posted: Feb 6, 2014 10:55 AM
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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



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