From: Christopher King <G.nius.ck@gmail.com>
To: categories@mta.ca
Subject: Re: Partial functor
Date: Sun, 15 Mar 2015 17:01:58 +0000 (UTC) [thread overview]
Message-ID: <E1YXUYO-00056F-3V@mlist.mta.ca> (raw)
In-Reply-To: <E1RNo2E-00089S-S1@mlist.mta.ca>
David Leduc <david.leduc6 <at> googlemail.com> writes:
>
> Hi,
>
> A partial functor from C to D is given by a subcategory S of C and a
> functor from S to D. What is the appropriate notion of natural
> transformation between partial functors that would allow to turn small
> categories, partial functors and those "natural transformations" into
> a bicategory? The difficulty is that two partial functors from C to D
> might not have the same definition domain.
>
> [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
>
>
I know this is late, but I find a quite obvious notion for it. Why not turn
your partial functor into a regular functor from C->D+1 (1 and + are the
terminal object and coproduct in the category of categories.) Now you can just
use regular natural transformations.
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2015-03-15 17:01 UTC|newest]
Thread overview: 7+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-11-07 12:55 David Leduc
2011-11-08 18:12 ` Carchedi, D.J. (Dave)
2011-11-11 0:10 ` Steve Lack
2015-03-15 17:01 ` Christopher King [this message]
2015-03-16 13:42 ` Uwe Egbert Wolter
2015-03-16 15:29 ` Giorgio Mossa
2015-03-16 13:46 Fred E.J. Linton
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