Asymptotic proximities

Igor V. Protasov


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.


Ballean; Determining covering; Proximity

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Topology and its Applications  vol: 273  first page: 106980  year: 2020  
doi: 10.1016/j.topol.2019.106980

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