From: Michael Barr <barr@prism.math.mcgill.ca>
To: categories@mta.ca
Subject: Re: first isomorphism theorem
Date: Thu, 19 Jun 2003 08:52:03 -0400 (EDT) [thread overview]
Message-ID: <Pine.LNX.4.44.0306190850390.2094-100000@prism.math.mcgill.ca> (raw)
In-Reply-To: <20030619075917.GL13356@math-cl-n01.ucr.edu>
Let me just add to this reply (which is certainly one valid answer to
the question) the comment that I sent privately to the questioner that
exactness is sufficient for the FIT to be meaningful.
On Thu, 19 Jun 2003, Toby Bartels wrote:
> Andrei Prokopiw wrote:
>
> >Is there a suitable first isomorphism theorem in category theoretic language?
> >One barrier for me seems to be the correct notion of an image. What seems best
> >right now would be that given f:X->Y, ker(coker f) = coker ( ker f). Here the
> >left hand side would represent im f, and the right hand side X/kerf. If this
> >is the right notion, what are the necessary conditions on the category for it
> >to hold?
>
> I'm not really answering your question, instead addressing the "if".
>
...
prev parent reply other threads:[~2003-06-19 12:52 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2003-06-18 17:39 Andrei Prokopiw
2003-06-19 7:59 ` Toby Bartels
2003-06-19 12:52 ` Michael Barr [this message]
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