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From: "Harley D. Eades III" <harley.eades@gmail.com>
To: categories@mta.ca
Subject: Non-triviality of *-autonomous categories
Date: Sat, 3 Aug 2013 19:06:30 -0500	[thread overview]
Message-ID: <77BE9A54-A589-408D-89B0-9C99D20B7F45@gmail.com> (raw)

Hi, everyone.  

I am having trouble finding a reference.  I thought perhaps someone here
might know.

It is well known that adding the isomorphism:
   d : A -> (A => 1) => 1
to a bicartisan closed category degenerates to a preorder.

In *-autonomous categories we have such an isomorphism, but
is non-trivial.  Where can I find a proof of this?  I would like to
reference it.  

I think one could proof this using the category of coherence spaces and linear maps
as a concrete *-autonomous category. See for example:

[1] R. a. g. Seely. Linear logic, *-autonomous categories and cofree coalgebras. In Computer Science Logic, 1989.

Any references anyone might have would be great.  

Thanks,
.\ Harley




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             reply	other threads:[~2013-08-04  0:06 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2013-08-04  0:06 Harley D. Eades III [this message]
2013-08-04 13:54 ` Michael Barr
2013-08-04 14:10 ` Robert Seely
     [not found] ` <alpine.LRH.2.03.1308041000010.22374@math.mcgill.ca>
2013-08-04 17:44   ` Harley D. Eades III

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