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



Kaba
Posts:
289
Registered:
5/23/11


Re: Precompactness
Posted:
Dec 11, 2012 5:40 PM


11.12.2012 23:46, quasi wrote: > Virgil wrote: >> Kaba wrote: >>> >>> 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? > > Yes. > > Also, for all positive integers n, R^n is locally compact, > but any unbounded open set is not precomnpact.
Right, too easy:) Thanks.
 http://kaba.hilvi.org



