From: Toby Bartels <categories@TobyBartels.name>
To: categories@mta.ca
Subject: Re: Uniform locales in Shv(X)
Date: Tue, 26 Aug 2014 22:05:30 -0700 [thread overview]
Message-ID: <E1XMeQW-0007GO-Kx@mlist.mta.ca> (raw)
In-Reply-To: <E1XLzao-0006BA-7t@mlist.mta.ca>
Jeff Egger <jeffegger@yahoo.ca> wrote in part:
>I have an idea of how this might be done, but it requires a detour through gauge spaces [...] which I'm not sure is constructively valid.
Presumably it's not valid if we don't at least have the classical theorem
that every pointwise uniformity comes from a family of psuedometrics.
The proof that I know of this relies on dependent choice,
as well as forming infima of inhabited sets of nonnegative real numbers.
These infima are constructively valid if we allow our pseudometrics
to take values in the upper real numbers instead of only the real numbers.
I don't know what to do about the dependent choice, however.
--Toby
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2014-08-27 5:05 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <d8a1028f315c96d7f569314dddff0e83.squirrel@www.normalesup.org>
2014-08-22 2:24 ` Jeff Egger
2014-08-22 15:15 ` Toby Bartels
2014-08-25 15:40 ` Jeff Egger
2014-08-25 20:24 ` henry
2014-08-27 5:05 ` Toby Bartels [this message]
2014-08-28 17:10 ` Toby Bartels
2014-08-29 15:29 Giovanni Curi
-- strict thread matches above, loose matches on Subject: below --
2014-08-20 23:25 Jeff Egger
2014-08-21 14:51 ` henry
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