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From: Ross Street <ross.street@mq.edu.au>
To: David Yetter <dyetter@ksu.edu>
Cc: "categories@mta.ca list" <categories@mta.ca>
Subject: Re: Half cartesian duoical categories
Date: Sat, 8 Oct 2016 02:57:04 +0000	[thread overview]
Message-ID: <E1btI7U-0001XN-Aq@mlist.mta.ca> (raw)
In-Reply-To: <E1bsaBO-00054d-2d@mlist.mta.ca>

Dear David

On 7 Oct 2016, at 6:48 AM, David Yetter <dyetter@ksu.edu<mailto:dyetter@ksu.edu>> wrote:

  In particular the instance in which if # denotes the non-cartesian monoidal structure and x the cartesian, the lax middle-four interchange transformation has components


(A x B) # (C x D) ------> (A # B) x (C # D) ?

You mean, of course,
(A x B) # (C x D) ------> (A # C) x (B # D)

It has come up in my current student's dissertation work.  An existing name   and citations to papers using this specific type of duoidal category would  be much appreciated.

I can't do much better than ``monoidal category with finite products''.
Any such becomes duoidal in this way.

Best wishes,
Ross


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  reply	other threads:[~2016-10-08  2:57 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2016-10-06 19:48 David Yetter
2016-10-08  2:57 ` Ross Street [this message]
2016-10-08 11:31 ` Robert Pare
2016-10-07 19:52 Fred E.J. Linton

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