* topological closure of a category
@ 2008-12-27 11:04 Gaucher Philippe
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From: Gaucher Philippe @ 2008-12-27 11:04 UTC (permalink / raw)
To: categories
Dear all,
I have the following situation and I'd like to know whether there is a name
for it, or whether someone knows examples like that. That would be helpful.
1) a locally presentable category C
2) a topological locally presentable category D
3) a left adjoint F:C-->D
4) F is faithful but not full (i.e. one-to-one on morphisms) and essentially
surjective. So F is not an equivalence of categories.
Could D be a kind of "topological closure" of C ?
Thanks in advance. pg.
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