Asymptotic proximities


  • Igor V. Protasov Kyiv University



Ballean, Determining covering, Proximity


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.


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Author Biography

Igor V. Protasov, Kyiv University

Departament of Cybernetics


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How to Cite

I. V. Protasov, “Asymptotic proximities”, Appl. Gen. Topol., vol. 9, no. 2, pp. 189–195, Oct. 2008.



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