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math.GN2019★ 1 cited
Balleans, hyperballeans and ideals
D. Dikranjan, I. Protasov, K. Protasova +1
A ballean (or a coarse structure) on a set is a family of subsets of called balls (or entourages of the diagonal in ) defined in such a way that $\…
math.GN2017
Counting coarse subsets of a countable group
Igor Protasov, Ksenia Protasova
For every countable group , there are distinct classes of coarsely equivalent subsets of .
math.GN2017★ 1 cited
On hyperballeans of bounded geometry
Igor Protasov, Ksenia Protasova
A ballean (or coarse structure) is a set endowed with some family of subsets, the balls, is such a way that balleans with corresponding morphisms can be considered as asymptotic co…