T. Banakh

activity

20062025

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 687 across the 231 of their papers we have counts for

collaborators

Showing 2013 · math.GRShow all

3 papers · 2 filters

math.GR2013

Scattered Subsets of Groups

T. O. Banakh, I. V. Protasov, S. V. Slobodianiuk

We define the scattered subsets of a group as asymptotic counterparts of scattered subspaces of a topological space, and prove that a subset $A$ of a group $G$ is scattered if and…

math.GR2013

Characterizing semigroups $X$ with commutative extensions $φ (X)$ , $λ (X)$ , $N_{2} (X)$ , $υ (X)$

Taras Banakh, Volodymyr Gavrylkiv

We characterize semigroups $X$ whose semigroups of filters $φ (X)$ , maximal linked systems $λ (X)$ , linked upfamilies $N_{2} (X)$ , and upfamilies $υ (X)$ are commutative.

math.GR2013★ 3 cited

Densities, submeasures and partitions of groups

Taras Banakh, Igor Protasov, Sergiy Slobodianiuk

In 1995 in Kourovka notebook the second author asked the following problem: it is true that for each partition $G = A_{1} \cup \dots \cup A_{n}$ of a group $G$ there is a cell $A_{i}$ of the…

Scattered Subsets of Groups

Characterizing semigroups X with commutative extensions φ(X), λ(X), N2​(X), υ(X)

Densities, submeasures and partitions of groups

Characterizing semigroups $X$ with commutative extensions $φ (X)$ , $λ (X)$ , $N_{2} (X)$ , $υ (X)$