Thin subsets of balleans


  • Ievgen Lutsenko Kyiv University
  • Igor V. Protasov Kyiv University



Ballean, Thin subsets, Ideal


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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How to Cite

I. Lutsenko and I. V. Protasov, “Thin subsets of balleans”, Appl. Gen. Topol., vol. 11, no. 2, pp. 89–93, Oct. 2010.



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