From: Michael Shulman <shulman@math.uchicago.edu>
To: "Björn Gohla" <b.gohla@gmx.de>
Cc: categories@mta.ca
Subject: Re: lax V-functors
Date: Mon, 24 May 2010 14:09:29 -0400 [thread overview]
Message-ID: <E1OGy0A-0003UH-5T@mailserv.mta.ca> (raw)
In-Reply-To: <E1OGWyt-0002r1-JK@mailserv.mta.ca>
Dear Björn,
In my recent preprint "Not every pseudoalgebra is equivalent to a
strict one" (arXiv:1005.1520), I had occasion to consider pseudo
V-categories, pseudo V-functors, and V-icons for such a V -- these
form the 2-category Ps-T-Alg for a suitable 2-monad on the 2-category
of V-enriched graphs. Obviously lax T-morphisms will similarly be lax
V-functors. I didn't have any need for general V-transformations or
modifications, and they don't fall as naturally out of the 2-monad
setup, but I agree that the definitions are easy to write down. I
would also be interested to hear who may have studied these notions in
general.
Best,
Mike
2010/5/24 Björn Gohla <b.gohla@gmx.de>:
> dear cocategorists,
>
> given a monoidal 2-category V (i.e. \tensor is a 2-functor in each variable)
> there is an obvious definition of lax V-functors, lax V-transformations and
> modifications between V-categories (in the ordinary sense). has this been
> studied anywhere?
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prev parent reply other threads:[~2010-05-24 18:09 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-05-24 11:52 Björn Gohla
2010-05-24 18:09 ` Michael Shulman [this message]
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