4 citations · 6 across the 13 of their papers we have counts for
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math.GR2025
Detecting the real line among one-parametric topological groups
Taras Banakh, Kateryna Makarova, Oles Mazurenko
We prove that a topological group is isomorphic to the real line if and only if it is a one-parameteric, metrizable, and not monothetic. This result is used in the authors' other p…
math.GR2025
Locally compact strictly convex metric groups are abelian
Taras Banakh, Oles Mazurenko
We show that every locally compact strictly convex metric group is abelian, thus answering one problem posed by the authors in their earlir paper. To prove this theorem we first co…
math.GR2008★ 2 cited
The coarse classification of countable abelian groups
T. Banakh, J. Higes, I. Zarichinyy
We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coinc…