* connected functors and pseudoepis
@ 2001-05-25 10:34 Jiri Adamek
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From: Jiri Adamek @ 2001-05-25 10:34 UTC (permalink / raw)
To: categories
The connected functors we have mentioned the other day, i.e. those
functors p: E -> B for which (-).p Set^B -> Set^E is fully faithful,
are easily seen to be precisely the lax epimorphisms of the 2-category Cat
(of small categories). We do not know whether every pseudoepimorphism
in Cat is connected, does anyone know? The answer is affirmative if
B is a preorder.
J.Adamek, R. El Bashir, M. Sobral and J. Velebil
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