From: Paul B Levy <P.B.Levy@cs.bham.ac.uk>
To: "Garraway, Dale" <dgarraway@ewu.edu>
Cc: categories@mta.ca
Subject: Re: Request for a reference
Date: Thu, 13 Nov 2014 21:07:05 +0000 [thread overview]
Message-ID: <E1XpEgl-0007J5-00@mlist.mta.ca> (raw)
In-Reply-To: <E1Xou5Q-0002lB-Dt@mlist.mta.ca>
Dear Dale,
I don't know if it appeared anywhere earlier, but the result for an
arbitrary poset is Proposition 8.4 in Birkedal, Mogelberg, Schwinghammer
and Stovring's paper "First steps in synthetic domain theory:
step-indexing in the topos of trees".
http://www.cs.au.dk/~birke/papers/sgdt-journal.pdf
Paul
On 12/11/14 18:46, Garraway, Dale wrote:
>
> Hi All
>
> Could some one please send me a reference of the fact that the category of
> presheaves on a Heyting algebra $H$ is equivalent to the category of
> sheaves on the Heyting algebra of down closed subsets of $H$. I believe
> this is true in general for any partial order so a reference to either
> would be greatly appreciated.
>
> Dale Garraway
> Dept. of Math,
> Eastern Washington
> dgarraway@ewu.edu
--
Paul Blain Levy
School of Computer Science, University of Birmingham
http://www.cs.bham.ac.uk/~pbl
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
prev parent reply other threads:[~2014-11-13 21:07 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-11-12 18:46 Garraway, Dale
2014-11-13 21:07 ` Paul B Levy [this message]
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