From: "Eduardo J. Dubuc" <edubuc@dm.uba.ar>
To: "Prof. Peter Johnstone" <P.T.Johnstone@dpmms.cam.ac.uk>,
categories@mta.ca
Subject: Re: separable locale
Date: Fri, 10 Jul 2009 00:32:02 -0300 [thread overview]
Message-ID: <E1MPEER-0001IG-8J@mailserv.mta.ca> (raw)
"separable" is used also to mean T_2
Prof. Peter Johnstone wrote:
> Dear Thomas,
>
> I'm pretty sure that what Michael meant by "separable" was what
> most topologists would call "second countable" -- i.e., countably
> generated as a frame. (There are some topology textbooks in which
> this condition is called "completely separable".)
>
> Peter Johnstone
> ---------------------------------
> On Tue, 30 Jun 2009, Thomas Streicher wrote:
>
>> Recently rereading Fourman's "Continuous Truth" I came across the term
>> "separable locale" but could nowhere find an explanation. Does it mean a
>> cHa A for which there exists a countable subset B such that ever a in
>> A is
>> the supremum of those b in B with b leq a. This would be the point free
>> account of "second countable", i.e. having a countable basis.
>> Of course, second countable T_) spaces are separable, i.e. have a
>> countable
>> dense set.
>> Is this reading the "usual" one?
>>
>> Thomas
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next reply other threads:[~2009-07-10 3:32 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-07-10 3:32 Eduardo J. Dubuc [this message]
2013-05-17 12:35 ` Michael Fourman
-- strict thread matches above, loose matches on Subject: below --
2009-07-08 17:06 gcuri
2009-07-05 20:54 Prof. Peter Johnstone
2009-06-30 13:26 Thomas Streicher
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