Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/90474
Title: Entourages, density, cauchy maps, and completion
Authors: Picado, Jorge 
Pultr, Aleš
Keywords: Frame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, Completion
Issue Date: 2018
Publisher: Springer
Project: UID/MAT/00324/2013 
Serial title, monograph or event: Applied Categorical Structures
Volume: 26
Abstract: We study uniformities and quasi-uniformities (uniformities without the symmetry axiom) in the common language of entourages. The techniques developed allow for a general theory in which uniformities are the symmetric part. In particular, we have a natural notion of Cauchy map independent of symmetry and a very simple general completion procedure (perhaps more transparent and simpler than the usual symmetric one).
URI: http://hdl.handle.net/10316/90474
DOI: 10.1007/s10485-018-9542-2
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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