10 Aug
1993
10 Aug
'93
1:58 a.m.
There is a well-known cartesian closed category of topological spaces, described in Mac Lane's CWM. A Hausdorff space is compactly generated if a set is closed iff its intersection with every compact subspace is closed. Question: does this construction generalize to an arbitrary topos? In other words is there a notion of compactly generated locale, such that we get a cartesian closed full subcategory of the category of locales over that topos? Ideally all separation axioms should be dropped. Also one would (well I would) like to have these locales to have enough points. Francois Lamarche, Imperial College. +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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Francois Lamarche