K. Protasova

most citedOn hyperballeans of bounded geometry

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.GN2017

Counting coarse subsets of a countable group

Igor Protasov, Ksenia Protasova

For every countable group $G$ , there are $2^{ω}$ distinct classes of coarsely equivalent subsets of $G$ .

math.GN2017

Ramsey-product subsets of a group

Igor Protasov, Ksenia Protasova

We say that a subset $S$ of an infinite group $G$ is a Ramsey-product subset if, for any infinite subsets $X$ , $Y$ of $G$ , there exist $x \in X$ and $y \in Y$ such that $x y \in S$ …

math.GN2017

On recurrence in G-spaces

Igor Protasov, Ksenia Protasova

We introduce and analyze the following general concept of recurrence. Let $G$ be a group and let $X$ be a G-space with the action $G \times X ⟶ X$ , $(g,x)\longmapsto gx…

math.GN2017

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…

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…

math.GN2016

The comb-like representations of cellular ordinal balleans

I. V. Protasov, K. D. Protasova

Given two ordinal $λ$ and $γ$ , let $f : [0, λ) \to [0, γ)$ be a function such that, for each $α < γ$ , $sup {f (t) : t \in [0, α]} < γ .$ We define a mapping $d_{f}: [0,λ)\times [0,λ)…