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Topic: Uniform Topology
Replies: 9   Last Post: Sep 29, 2013 11:01 AM

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David C. Ullrich

Posts: 3,238
Registered: 12/13/04
Re: Uniform Topology
Posted: Sep 29, 2013 11:01 AM
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On Sun, 29 Sep 2013 01:11:59 -0700, William Elliot <marsh@panix.com>
wrote:

>> Can you state the new problem in full?
>>

>If K is compact and S = C(K,R) has the sup norm topology,
> does S have the product topology?


No.

>If K is compact and S = R^K has the sup norm topology,
> does S have the product topology?


Given a compact space K, what in the world do you mean
by the sup norm on R^K?





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