2 citations · 5 across the 10 of their papers we have counts for
17 papers
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…
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 …
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…
Closeness and linkness in balleans
Igor Protasov, Ksenia Protasova
A set endowed with a coarse structure is called ballean or coarse space. For a ballean , we say that two subsets , of are close (linked) if there e…
A note on free vector balleans
Igor Protasov, Ksenia Protasova
A vector balleans is a vector space over endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean…
Free coarse groups
Igor Protasov, Ksenia Protasova
A coarse group is a group endowed with a coarse structure so that the group multiplication and inversion are coarse mappings. Let be a coarse space and let $\mat…