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The Galois Approach to Uniform Structures
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Maria João Ferreira Jorge PicadoEntourages in uniform spaces, being binary relations, may be easily described by polarities (i.e. Galois connections between power sets) and axialities (i.e. residuated pairs between power sets). Here we consider this in the pointfree context of the category of frames,... -
On presheaf submonads of quantale-enriched categories
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Maria Manuel Clementino --- University of Coimbra, Portugal Carlos Fitas --- University of Coimbra, PortugalThis paper focuses on the presheaf monad, or the free cocompletion monad, and its submonads on the realm of V-categories, for a quantale V . First we present two characterisations of presheaf submonads, both using V-distributors: one based on admissible...
