2 citations · 5 across the 10 of their papers we have counts for
11 papers
On balanced coronas of groups
Igor Protasov
Let be an infinite group, be an infinite cardinal, and let denotes a coarse structure on with the base $\{\{ (x,y): y\in F x F\}: F\i…
Counting coarse subsets of a countable group
Igor Protasov, Ksenia Protasova
For every countable group , there are distinct classes of coarsely equivalent subsets of .
Ramsey-product subsets of a group
Igor Protasov, Ksenia Protasova
We say that a subset of an infinite group is a Ramsey-product subset if, for any infinite subsets , of , there exist and such that …
On recurrence in G-spaces
Igor Protasov, Ksenia Protasova
We introduce and analyze the following general concept of recurrence. Let be a group and let be a G-space with the action , $(g,x)\longmapsto gx…
The descriptive look at the size of subsets of groups
Igor Protasov, Taras Banakh, Ksenia Protasova
We explore the Borel complexity of some basic families of subsets of a countable group (large, small, thin, sparse and other) defined by the size of their elements. Applying the ob…
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…