On functors which are lax epimorphisms

We show that lax epimorphisms in the category Cat are precisely the functors P : Ε → B for which the functor P* : [B, Set] → [E, Set] of composition with P is fully faithful. We present two other characterizations. Firstly, lax epimorphisms are precisely the ``absolutely dense'' functors,...

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Bibliographic Details
Main Author: Adámek, Jirí (author)
Other Authors: Bashir, Robert El (author), Sobral, Manuela (author), Velebil, Jirí (author)
Format: other
Language:eng
Published: 2001
Subjects:
Online Access:http://hdl.handle.net/10316/11460
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11460