From: David Roberts <a1078662@student.adelaide.edu.au>
To: categories@mta.ca
Subject: Re: Severe Strict Monoidal Category Naivete
Date: Sun, 5 Dec 2010 10:14:08 +1030 [thread overview]
Message-ID: <E1PP25t-0001wJ-6R@mlist.mta.ca> (raw)
In-Reply-To: <alpine.LRH.2.00.1012041110000.9194@mlist.mta.ca>
Hi Ellis,
to push the chemical reaction analogy further, tensoring with an identity
morphism 1_Y is like having a chemical present that doesn't take part in the
reaction: it's there are the beginning and end, but doesn't change. But you
can't take it away (and no, it's not like a catalyst, in that your original
arrow f was there to begin with), unless perhaps Y has some sort of dual or
(weak) tensor inverse, and by now the analogy is stretched beyond breaking
point.
David
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next parent reply other threads:[~2010-12-04 23:44 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <E1POk5N-0004lN-Lv@mlist.mta.ca>
[not found] ` <alpine.LRH.2.00.1012041110000.9194@mlist.mta.ca>
2010-12-04 23:44 ` David Roberts [this message]
2010-12-02 14:55 Ellis D. Cooper
2010-12-03 2:54 ` Steve Lack
[not found] ` <8C65074A-894A-4F7A-B47D-9D8411A9CFC3@mq.edu.au>
2010-12-03 15:51 ` Ellis D. Cooper
2010-12-04 14:00 ` Ellis D. Cooper
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