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From: John Stell <J.G.Stell@leeds.ac.uk>
To: "categories@mta.ca" <categories@mta.ca>
Subject: converse relations and distributors
Date: Thu, 25 Mar 2010 13:38:17 +0000	[thread overview]
Message-ID: <E1NusIS-0005In-V6@mailserv.mta.ca> (raw)

The notion of a "distributor between posets" is used as a motivating example in the document
Distributors at Work (www.mathematik.tu-darmstadt.de/~streicher/). This gives one way to
see what a relation between posets should be.

For posets A and B, what is considered are (ordinary) relations R \subseteq B \times A such that
b2 \leq b1 and a1 \leq a2 and  b1 R a1 implies b2 R a2.

What I'm interested in is the converse of such a relation between posets. Clearly we cannot simply
take the usual converse of R. I can see what to do for the context in which I need this, but I'd
be interested to know if this issue appears in the literature. Is there some well-known construction
on distributors that tells us what the converse 'should' be?

[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


             reply	other threads:[~2010-03-25 13:38 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-03-25 13:38 John Stell [this message]
2010-03-25 22:20 ` Steve Lack

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