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.