3 citations · 6 across the 2 of their papers we have counts for
4 papers
Coarse classification of abelian groups and amenable shift-homogeneous metric spaces
Taras Banakh, Matija Cencelj, Dušan Repovš +1
In this paper we classify countable locally finite-by-abelian groups up to coarse isomorphism. This classification is derived from a coarse classification of amenable shift-homogen…
A coarse characterization of the Baire macro-space
Taras Banakh, Ihor Zarichnyi
We prove that each coarsely homogenous separable metric space is coarsely equivalent to one of the spaces: the sigleton, the Cantor macro-cube or the Baire macro-space. This cl…
Characterizing the Cantor bi-cube in asymptotic categories
Taras Banakh, Ihor Zarichnyi
We present the characterization of metric spaces that are micro-, macro- or bi-uniformly equivalent to the extended Cantor set $\{\sum_{i=-n}^\infty\frac{2x_i}{3^i}:n\in\IN ,\;(x_i…
On metric spaces with the properties of de Groot and Nagata in dimension one
T. Banakh, D. Repovs, I. Zarichnyi
A metric space has the de Groot property if for any points there are positive indices such that and $d(x_i,x_j)\le…