N. Lyaskovska

activity

20092012

most citedAsymptotic dimension and small subsets in locally compact topological groups

4 citations · 4 across the 2 of their papers we have counts for

collaborators

4 papers

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.GN2011

Constructing universally small subsets of a given packing index in Polish groups

Taras Banakh, Nadya Lyaskovska

A subset of a Polish space $X$ is called universally small if it belongs to each ccc $σ$ -ideal with Borel base on $X$ . Under CH in each uncountable Abelian Polish group $G$ we cons…

math.GR2010

On thin-complete ideals of subsets of groups

Taras Banakh, Nadya Lyaskovska

Given a family $F$ of subsets of a group $G$ we describe the structure of its thin-completion $τ^{*} (F)$ , which is the smallest thin-complete family that contains $I$ . A family $F$ o…

math.GR2009

Completeness of translation-invariant ideals in groups

Taras Banakh, Nadya Lyaskovska

We introduce and study varions notions of completeness of translation-invariant ideals in groups.