Thin subsets of balleans

Ievgen Lutsenko; Igor V. Protasov

doi:10.4995/agt.2010.1710

Authors

Ievgen Lutsenko Kyiv University
Igor V. Protasov Kyiv University

DOI:

https://doi.org/10.4995/agt.2010.1710

Keywords:

Ballean, Thin subsets, Ideal

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.

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Author Biographies

Ievgen Lutsenko, Kyiv University

Departament of Cybernetics, Volodimirska 64, Kyiv, 01033, Ukraine

Igor V. Protasov, Kyiv University

Departament of Cybernetics

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