Thin subsets of balleans

Ievgen Lutsenko, Igor V. Protasov

Abstract

A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpar tof a uniform topological space. We characterize the ideal generated by the family of all thin subsets in an ordinal ballean, and apply this characterization to metric spaces and groups.

Keywords

Ballean; Thin subsets; Ideal

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References

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1. The dynamical look at the subsets of a group
Igor V. Protasov, Sergii Slobodianiuk
Applied General Topology  vol: 16  issue: 2  first page: 217  year: 2015  
doi: 10.4995/agt.2015.3584



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt