From: "Prof. J. Lambek" <lambek@math.mcgill.ca>
To: categories@mta.ca
Subject: Reading advice
Date: Tue, 2 Feb 1999 14:21:45 EST [thread overview]
Message-ID: <199902021922.OAA24636@sirocco.cc.mcgill.ca> (raw)
Concerning the question by Lindquist:
The tensor product automatically satisfies all functoriality,
associativity and coherence conditions, if it is introduced by a
universal property as by Bourbaki. This is shown for monoidal
categories (bicategories with one object) e.g. in my paper
``Multicategories revisited'', Contemporary Mathematics 92(1989). The
same argument works for arbitrary bicategories provided, in defining
a multicategory, one replaces the free monoid generated by a set by
the free category generated by a graph.
Jim Lambek
next reply other threads:[~1999-02-02 19:21 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
1999-02-02 19:21 Prof. J. Lambek [this message]
1999-02-03 7:33 ` Vaughan Pratt
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