* Injective objects in topoi.
@ 2009-06-26 10:59 Toby Kenney
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From: Toby Kenney @ 2009-06-26 10:59 UTC (permalink / raw)
To: categories
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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