Motives and (super-)representation theory: principles and case studies
By Yves André
Finiteness Questions for Étale Coverings with Bounded Wild Ramification at the Boundary
By Vasudevan Srinivas
Appears in collection : Toposes Online
We categorify the adjunction between locales and topological spaces, this amounts to an adjunction between (generalized) bounded ionads and topoi. We show that the adjunction is idempotent, yielding a biequivalence between topoi with enough points and sober bounded ionads. We relate this adjunction to the Scott adjunction, which was discussed from a more categorical point of view in previous work. We hint at the logical implications of this result in terms of completeness/reconstruction theorems.