From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Re: non-Abelian categories
Date: Sun, 21 Dec 1997 16:08:15 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.971221160808.31571D-100000@mailserv.mta.ca> (raw)
Date: Sat, 20 Dec 1997 14:21:35 GMT
From: Michael Barr <barr@triples.math.mcgill.ca>
Colin's question, which essentially asks for a solution to the proportion
abelian groups:groups :: abelian category:x
does not of course have a unique answer. One solution was exact
category and that was definitely one of the things I had in mind. In
fact, I think I even said so. From my current vantage, I would add
the following two properties: pointed and Mal'cev. For an equational
category, that is almost enough to force a group structure (associativity
is missing). I don't know how to force associativity by categorical
properties, but pointed, exact and Mal'cev has to come awfully close
to answering the question.
Michael
next reply other threads:[~1997-12-21 20:08 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-12-21 20:08 categories [this message]
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1997-12-21 20:08 categories
1997-12-20 13:52 categories
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