From: Dusko Pavlovic <dusko@kestrel.edu>
To: Categories list <categories@mta.ca>
Subject: Re: Question on (co)monoids
Date: Thu, 21 Mar 2013 17:21:32 +0000 [thread overview]
Message-ID: <E1UJAnP-00044S-V9@mlist.mta.ca> (raw)
In-Reply-To: <E1UFmQ1-0000TM-Ay@mlist.mta.ca>
hi,
the reference for the discussed fact is
@article{FoxT:cartesian,
author = {Thomas Fox},
title = {{Coalgebras and cartesian categories}},
journal = {Communications in Algebra},
volume = {4},
year = {1976},
pages = {665--667},
issue = {7},
doi = {10.1080/00927877608822127},
}
sorry about lagging behind. it is interesting how forgetting leads to new discoveries :)
-- dusko
On Mar 12, 2013, at 11:09 PM, Chris Heunen wrote:
> Dear Claudio,
>
> One place with a spelled out proof that you could refer to is Theorem
> 2.1 of http://dx.doi.org/10.1016/j.entcs.2008.10.012: Let (C,+,0) be a
> symmetric monoidal category. Then (+,0) provides finite coproducts if
> and only if the forgetful functor cMon(C)->C is an isomorphism of
> categories.
>
> At that point I, like you, couldn't find any references, but I'm sure
> it is a well-known piece of folklore, and would be interested if you
> can trace its earliest appearance in the literature.
>
> Best wishes,
> Chris
>
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
prev parent reply other threads:[~2013-03-21 17:21 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-03-12 13:58 claudio pisani
2013-03-15 14:22 ` Jeff Egger
[not found] ` <E1UFmQ1-0000TM-Ay@mlist.mta.ca>
2013-03-21 17:21 ` Dusko Pavlovic [this message]
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