From: David Leduc <david.leduc6@googlemail.com>
To: categories <categories@mta.ca>
Subject: Good identity
Date: Thu, 26 Jan 2012 14:00:09 -0500 [thread overview]
Message-ID: <E1RqtRF-0008My-4l@mlist.mta.ca> (raw)
Hi,
Let F, G, and H be composable functors. I can define the canonical
natural transformation from (H o G) o F to H o (G o F) without relying
on the evil fact that (H o G) o F = H o (G o F). I just define it
componentwisely: for each X, I take id_(H(G(F(X)))).
This works in the bicategory of small categories. But now if F, G and
H are 1-cells in any bicategory, how can I define the canonical 2-cell
from (H o G) o F to H o (G o F) without relying on the evil fact that
(H o G) o F = H o (G o F).
Thanks!
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2012-01-26 19:00 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2012-01-26 19:00 David Leduc [this message]
2012-01-28 2:11 ` David Leduc
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