From: Richard Garner <richard.garner@mq.edu.au>
To: Mike Stay <metaweta@gmail.com>, categories <categories@mta.ca>
Subject: Re: "Weakly closed" monoidal bicategories?
Date: Sat, 03 May 2014 10:36:08 +1000 [thread overview]
Message-ID: <E1WgwQO-00027F-CO@mlist.mta.ca> (raw)
In-Reply-To: <E1WgGtn-0002s5-Rw@mlist.mta.ca>
Dear Mike,
This paper of Vincent Schmitt involves such a structure on the
2-category of symmetric monoidal categories. I don't think the abstract
structure of which this is an instance is made explicit though.
http://arxiv.org/abs/0711.0324
Richard
On Sat, May 3, 2014, at 01:40 AM, Mike Stay wrote:
> In a closed symmetric monoidal bicategory, the categories
> Hom(A tensor B, C)
> and
> Hom(A, hom(B, C))
> are equivalent. It occurred to me that one could weaken this
> equivalence to a mere adjunction. Looking for references, I found
> Lars Birkedal's thesis where he considers "weakly closed partial
> cartesian" bicategories.
>
> Are there other references I should be aware of? Thanks!
> --
> Mike Stay - metaweta@gmail.com
> http://www.cs.auckland.ac.nz/~mike
> http://reperiendi.wordpress.com
>
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prev parent reply other threads:[~2014-05-03 0:36 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-05-02 15:40 Mike Stay
2014-05-03 0:36 ` Richard Garner [this message]
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