* Re:first isomorphism theorem
@ 2003-06-23 18:43 wlawvere
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From: wlawvere @ 2003-06-23 18:43 UTC (permalink / raw)
To: categories
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.
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2003-06-23 18:43 Re:first isomorphism theorem wlawvere
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