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Topic: Compact Open Topology.
Replies: 1   Last Post: Oct 1, 2013 2:11 PM

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David C. Ullrich

Posts: 3,555
Registered: 12/13/04
Re: Compact Open Topology.
Posted: Oct 1, 2013 2:11 PM
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On Sun, 29 Sep 2013 19:37:22 -0700, William Elliot <>

>Is the compact-open topology on C(X, Y) ever locally compact?

Of course it is. There are very simple examples you could
come up with yourself.

>Does it satisfy any other compactness conditions?

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