From: Michael Barr <barr@barrs.org>
To: Categories list <categories@mta.ca>
Subject: Question on subobject classifiers
Date: Sat, 12 Jun 1999 09:04:33 -0400 (EDT) [thread overview]
Message-ID: <Pine.LNX.4.04.9906120901150.32563-100000@triples.math.mcgill.ca> (raw)
I am reviewing a paper whose main result sounds like it ought to be known.
Is it and can anyone give me a citation?
Let E be a cocomplete category with a small dense subcategory C (so every
e of E is the colimit of C/e --> E). Then an object \Omega of E is a
subobject classifier in E iff it represents the subobject functor
restricted to C.
-------------------------------------------------------------------
If a society puts up with bad plumbers because plumbing is such a low
calling, and if it puts up with bad philosophers because philosophy is
such a high calling---then neither its pipes nor its theories will hold
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reply other threads:[~1999-06-12 13:04 UTC|newest]
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