Taras Banakh

collaborators

7 papers

math.CO2026

Steiner systems $S (2, 6, 226)$ and $S (2, 6, 441)$ exist

Taras Banakh, Ivan Hetman, Alex Ravsky

Via computer search, we found seven non-isomorphic $1$ -rotational Steiner systems $S (2, 6, 226)$ and six point-transitive Steiner systems $S (2, 6, 441)$ , resolving two of $29$ previous…

math.GN2026

Plastic metric spaces and groups

Taras Banakh, Oles Mazurenko, Olesia Zavarzina

A metric space is plastic if all its non-expansive bijections are isometries. We prove three main results: (1) every countable dense subspace of a normed space is not plastic, (2)…

math.CO2025

New Steiner systems $S (2, 6, v)$ with block length 6

Taras Banakh, Ivan Hetman, Alex Ravsky

In this paper various Steiner systems $S (2, k, v)$ for $k = 6$ are collected and enumerated for specific constructions. In particular, two earlier unknown types of $1$ -rotational des…

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.FA2025

On regular operators extending (pseudo)metrics

Taras Banakh

It is proved that for every stratifiable space $Y$ and a closed subset $X \subset Y$ there exists a regular (i.e. linear positive with unit norm) extension operator $T:C(X\times X)\…

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…