From: Jiri Adamek <adamek@iti.cs.tu-bs.de>
To: categories@mta.ca
Subject: connected functors and pseudoepis
Date: Fri, 25 May 2001 12:34:04 +0200 (MET DST) [thread overview]
Message-ID: <200105251034.MAA03907@lisa.iti.cs.tu-bs.de> (raw)
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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reply other threads:[~2001-05-25 10:34 UTC|newest]
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