From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: correction on category of groups
Date: Sun, 21 Dec 1997 16:09:57 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.971221160945.31571L-100000@mailserv.mta.ca> (raw)
Date: Sat, 20 Dec 1997 20:09:34 -0500 (EST)
From: Colin Mclarty <cxm7@po.CWRU.Edu>
In an earlier post today I misdescribed a way of axiomatizing
the category of groups by the triple for groups over sets. The point is
that you can axiomatize the category of sets and the Eilenberg-Moore
category for the triple for groups over it, and then identify the
category of sets with the non-full subcategory of free groups and
homomorphisms taking generators to generators; so that in a very narrow
sense you would "only be talking about groups and homomorphisms". But
really this amounts to defining groups as structured sets.
What I want to know is, are there known axioms approaching
the category of groups directly.
reply other threads:[~1997-12-21 20:09 UTC|newest]
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