Name: Asymptotic proximities
Creator: Protasov, Igor V.
Keywords: QA299.6-433, Proximity, QA1-939, 0101 mathematics, Ballean, 01 natural sciences, Mathematics, Analysis, Determining covering

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2008Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 9, pages 189-195 (issn: 1576-9402, eissn: 1989-4147,

Authors: Protasov, Igor V.;

doi: 10.4995/agt.2008.1799

handle: 10251/86428

Asymptotic proximities

- Summary
- Subjects
- Metrics

Abstract

[EN] A ballean is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that the balleans can be considered as a natural asymptotic counterparts of the uniform topological spaces. We introduce and study an asymptotic proximity as a counterpart of proximity relation for uniform topological space.

Related Organizations

Universitat Politècnica de València
Spain
National Academy of Sciences of Ukraine
Ukraine
Kyiv University of Law
Ukraine

Keywords

QA299.6-433, Proximity, QA1-939, Ballean, Mathematics, Analysis, Determining covering

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	11
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average