O. Chervak

activity

20102017

most citedAsymptotic dimension and small subsets in locally compact topological groups

4 citations · 4 across the 3 of their papers we have counts for

collaborators

5 papers

math.CO2017

Minimum number of additive tuples in groups of prime order

Ostap Chervak, Oleg Pikhurko, Katherine Staden

For a prime number $p$ and a sequence of integers $a_{0}, \dots, a_{k} \in {0, 1, \dots, p}$ , let $s (a_{0}, \dots, a_{k})$ be the minimum number of $(k + 1)$ -tuples $(x_0,\dots,x_k)\in A_0\times\d…

math.GN2015

Kuratowski monoids of $n$ -topological spaces

T. Banakh, O. Chervak, T. Martynyuk +3

Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set $X$ endowed with $n$ pairwise comparable topologies $τ_1\subset\dots\subs…

math.MG2012★ 4 cited

Asymptotic dimension and small subsets in locally compact topological groups

Taras Banakh, Ostap Chervak, Nadya Lyaskovska

We prove that for a coarse space $X$ the ideal $S (X)$ of small subsets of $X$ coincides with the ideal $D_{<} (X)$ of subsets $A \subset X$ of asymptotic dimension $a s d im (A) < a s d im (X)$ …

math.GN2012

On character of points in the Higson corona of a metric space

Taras Banakh, Ostap Chervak, Lubomyr Zdomskyy

We prove that for an unbounded metric space $X$ , the minimal character $m χ (X ˇ)$ of a point of the Higson corona $X ˇ$ of $X$ is equal to $u$ if $X$ has asympto…

math.CO2010

Centerpole sets for colorings of Abelian groups

Taras Banakh, Ostap Chervak

Given a topological group $G$ we calculate or evaluate the cardinal characteristic $c_{k} (G)$ (and $c_{k}^{B} (G)$ ) equal to the smallest cardinality of a $k$ -centerpole subset $C\subset…