From: wlawvere@buffalo.edu
To: categories@mta.ca
Subject: Re:first isomorphism theorem
Date: Mon, 23 Jun 2003 14:43:36 -0400 [thread overview]
Message-ID: <1056393816.3ef74a583a9e7@mail2.buffalo.edu> (raw)
Toby Bartels pointed out
>>the essence of the isomorphism theorem is that the forgetful functor to
>>sets not only preserves limits but also preserves images and coimages
>>even though it does not preserve coequalizers and cokernel pairs.
In fact, as recent papers of Adamek,Lawvere,& Rosicky, and also of
Pedicchio & Wood, have exploited, such forgetful functors do preserve
all coequalizers of pairs which admit a reflexivity in the category; the
preservation of images is a consequence.
reply other threads:[~2003-06-23 18:43 UTC|newest]
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