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math.GM2020
Coarse structures on groups defined by conjugations
Igor Protasov, Ksenia Protasova
For a group , we denote by the coarse space on endowed with the coarse structure with the base $\{\{ (x,y)\in G\times G: y\in x^F \} : F \in…
math.GR2020
The dynamical approach to the conjugacy in groups
Igor Protasov, Ksenia Protasova
Given a discrete group , we identify the Stone-ech compactification with the set of all ultrafilters on and put . The action on …
math.GN2020
The normality of macrocubes and hyperballeans
Igor Protasov, Ksenia Protasova
For a bornology on a cardinal , we prove that the -macrocube is normal if and only if has a linearly ordered base. As a corollary, we get t…