From: Toby Kenney <tkenney@mathstat.dal.ca>
To: categories@mta.ca
Subject: Injective objects in topoi.
Date: Fri, 26 Jun 2009 07:59:42 -0300 (ADT) [thread overview]
Message-ID: <E1MKSIO-0002Fe-HR@mailserv.mta.ca> (raw)
Dear Category theorists,
I'm sure the following lemma is either known, or I've made some
mistake in proving it:
Lemma:
If I is an injective object in a topos, then for any monomorphism
I>---m--->A, the object of splittings of m, i.e.
S={f:I^A|(\forall i:I)(f(m(i))=i)}
is also injective.
Could someone let me know of a reference to it. Thanks a lot.
Toby
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reply other threads:[~2009-06-26 10:59 UTC|newest]
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