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Answer by Axel Osmond for Does the Zariski spectrum of a ring arise formally...
This is really the point of Cole and Dubuc approach, and it really requires also to conveniently chose some factorization data to work.I - In Cole formalism, suppose you have a geometric embedding $...
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Let $\iota_\ast : \mathcal A \to \mathcal B$ be a geometric morphism. I'm looking for some functor$$F_{\mathcal A \to \mathcal B} : \mathrm{Topos}_{//\mathcal B} \to \mathrm{Topos}_{//\mathcal...
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