Convergences, pretopologies and proximities induced by Cauchy and Riesz screens

DOI10.1007/s10474-010-9133-7zbMath1274.54083OpenAlexW2149525592MaRDI QIDQ625976

Monique Chicourrat

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9133-7

zbMATH Keywords

convergenceproximitypretopologyCauchy space

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Probabilistic metric spaces (54E70)

Cites Work

• RE-proximities
• Extensions de proximités et de prétopologies dans l'ensemble des ultrafilters. (Extensions of proximities and pretopologies in the set of ultrafilters)
• Simultaneous extensions of Cauchy structures
• RE-proximities as fixed points of an operator on pseudo proximities
• Cauchy structures in closure and proximity spaces
• Extensions of closure and proximity spaces
• Cauchy spaces. I: Structure and uniformization theorems
• Cyrtologies of Convergences, I
• Beiträge zur Filtertheorie. I
• Completions of uniform convergence spaces
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