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Functorial Quasi-Uniformities on Frames
Authors:Email author" target="_blank">Maria?Jo?o?FerreiraEmail author  Jorge?Picado
Institution:(1) Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal
Abstract:We present a unified study of functorial quasi-uniformities on frames by means of Weil entourages and frame congruences. In particular, we use the pointfree version of the Fletcher construction, introduced by the authors in a previous paper, to describe all functorial transitive quasi-uniformities.Mathematics Subject Classifications (2000) 06D22, 54B30, 54E05, 54E15, 54E55.Jorge Picado: The authors acknowledge partial financial assistance by the Centro de Matemática da Universidade de Coimbra/FCT.
Keywords:frame  quasi-uniform frame  Weil entourage  biframe  strictly zero-dimensional biframe  Skula biframe  Skula functor  functorial quasi-uniformity  T-pseudosection
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