From: Lutz Schroeder <lschrode@informatik.uni-bremen.de>
To: Categories <categories@mta.ca>
Subject: question on "model functor"
Date: Fri, 15 Sep 2000 15:13:52 +0200 [thread overview]
Message-ID: <39C22090.5802016D@informatik.uni-bremen.de> (raw)
The following question looks so natural that somebody's
bound to have looked into it:
Does the functor
Cat^op ---> CAT
A |--> [A,Set]
reflect isomorphisms (more generally: limits)?
related questions (i.e. ones that would solve the problem or
at least help solving it) are
-- Are epimorphisms in Cat those functors F:A-->B for which
F[A] generates B by composites and inverses of isomorphisms (in B)?
-- is the source of all covariant hom-functors an extremal mono-source
in CAT?
The answers are probably in the literature - but where?
Thanks a lot,
Lutz Schroeder
--
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next reply other threads:[~2000-09-15 13:13 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2000-09-15 13:13 Lutz Schroeder [this message]
2000-09-15 17:08 ` Dr. P.T. Johnstone
2000-09-17 16:37 Peter Freyd
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