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From: Martin Escardo <m.escardo@cs.bham.ac.uk>
To: Gabor Lukacs <lukacs@mathstat.yorku.ca>, <categories@mta.ca>
Subject: Re: Compact subsets of k-spaces (without separation axioms)
Date: Mon, 16 Feb 2004 10:30:23 +0000	[thread overview]
Message-ID: <16432.39871.67026.622299@gargle.gargle.HOWL> (raw)
In-Reply-To: <Pine.A41.4.31.0402150847070.62202-100000@pascal.math.yorku.ca>

Gabor Lukacs writes:
 > I was wondering if anyone knows whether the first statement is true
 > *without separation axioms*, i.e., whether for every topological space X,
 > its k-ification kX and X have the same compact subspaces.

Sometime ago Alex Simpson advertised a paper

"Comparing cartesian closed categories of (core) compactly generated
spaces". http://www.cs.bham.ac.uk/~mhe/papers/ELS03.pdf

where we have the same question (problem 9.2). Hence if anyone has an
answer, please forward it to us as well - thanks.

(I also take the opportunity to mention that we have updated the paper
with some references given to us by some members of this list, in
Section 3.)

MHE





      reply	other threads:[~2004-02-16 10:30 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2004-02-15 13:47 Gabor Lukacs
2004-02-16 10:30 ` Martin Escardo [this message]

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