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Equidivisibility and profinite coproduct
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jorge Almeida --- Universidade do Porto, Portugal Alfredo Costa --- University of Coimbra, PortugalThe aim of this work is to investigate the behavior of equidivisibility under coproduct in the category of pro-V semigroups, where V is a pseudovariety of finite semigroups. Exploring the relationship with the two-sided Karnofsky-Rhodes expansion, the notions of KR-cover... -
Effective descent morphisms of ordered families
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Maria Manuel Clementino --- University of Coimbra, CMUC, Portugal Rui Prezado --- University of Coimbra, CMUC, PortugalWe present a characterization of effective descent morphisms in the lax comma category Ord//X when X is a locally complete ordered set, as well as in the antisymmetric setting. -
Approximation and Compactness
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: E. Colebunders --- Vrije Universiteit Brussel, België R. Lowen --- Universiteit Antwerpen, BelgiëIn approach theory convergence is described by means of limit and adherence operators acting on filters or ultrafilters. The value of the limit resp. adherence operator on an (ultra)filter in a point x is interpreted as the distance that the...