Entourages, density, Cauchy structure, and completion (Preprint)

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Type: Preprint
National /International: International
Title: Entourages, density, Cauchy structure, and completion
Publication Date: 2018-05-28
Authors: - Jorge Picado
- Ales Pultr
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 Cauchy structure independent of symmetry and a very simple general completion procedure (perhaps more transparent and simpler than the usual symmetric one).
Institution: DMUC 18-19
Online version: http://www.mat.uc.pt...prints/eng_2018.html
Download: Not available
 
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