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Topic: Precompactness
Replies: 9   Last Post: Dec 13, 2012 4:19 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Precompactness
Posted: Dec 11, 2012 4:37 PM
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In article <ka880b$jir$1@news.cc.tut.fi>, Kaba <kaba@nowhere.com>
wrote:

> Hi,
>
> Let X be a locally compact Hausdorff space. Is every open set of X
> precompact (compact closure)?


Isn't the whole space, X, an open set with a not necessarily compact
closure, at least if X is only locally compact?
--





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