Thin subsets of balleans

Ievgen Lutsenko, Igor V. Protasov
DOI: https://doi.org/10.4995/agt.2010.1710

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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Universitat Politècnica de València

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