Date: Dec 11, 2012 5:40 PM
Author: Kaba
Subject: Re: Precompactness
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.

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