products preserve epis of locales
22 Jul
2008
22 Jul
'08
11:35 p.m.
Where can I find a published proof that if X --->> Y is a (not necessarily regular) epi of locales then so is X x Z --->> Y x Z for any locale Z? NB (I know that) this is not true for general pullbacks of locales! Ideally, I'd like to cite a textbook-style account that begins by characterising epis and regular monos as idempotent adjunctions, saying that they form a factorisation system, and describes the product of locales fairly explicitly. Paul
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Paul Taylor