Virgil
Posts:
8,833
Registered:
1/6/11


Re: Precompactness
Posted:
Dec 11, 2012 4:37 PM


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? 

