Title
Entourages, Density, Cauchy Maps, and Completion.
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).
Year
DOI
Venue
2018
10.1007/s10485-018-9542-2
Applied Categorical Structures
Keywords
Field
DocType
Frame, Locale, Sublocale, Uniform frame, Quasi-uniform frame, Entourage, Uniform map, Uniform dense embedding, Cauchy map, Complete, Completion, 06D22, 18B30, 54E15, 54D35
Discrete mathematics,Axiom,Pure mathematics,Cauchy distribution,Mathematics
Journal
Volume
Issue
ISSN
26
6
0927-2852
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Jorge Picado12010.18
Ales Pultr27224.12