[FOM] CAT co-well-powered?
mhebert at aucegypt.edu
Sat Sep 13 04:14:46 EDT 2003
>On Thu, 11 Sep 2003, HAUCOURT emmanuel wrote:
>> Is CAT (the category of small categories) co-well-powered?
>> Is anyone has references about epic of CAT?
In addition to the papers suggested by Todd Wilson, here is a recent paper
specifically about epis in CAT:
Bernarczyk, M. et al., Generalized congruences - epimorphisms in CAT, Theory
and Appl. of Categories 5 (1999), No 11, 266-280.
About Todd's answer:
>[...] Since epimorphisms are characterized by having dominions equal to
>their ranges, this gives a description of epis in CAT, and shows, in
>particular, that their codomains are bounded [...]
just in case: he probably meant "[...] dominions equal to their *codomains*,
this gives [...]".
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