3 citations · 10 across the 10 of their papers we have counts for
10 papers
The binary quasiorder on semigroups
Taras Banakh, Olena Hryniv
Given two elements of a semigroup we write if for every homomorphism we have . The quasiorder is called the …
-deviations of polygons and their applications in Electric Power Engineering
Taras Banakh, Olena Hryniv, Vasyl Hudym
For any metric space endowed with the action of a group , and two -gons and in , we introduce the -d…
Some Baire category properties of topological groups
Taras Banakh, Olena Hryniv
We present several known and new results on the Baire category properties in topological groups. In particular, we prove that a Baire topological group is metrizable if and onl…
A parallel metrization theorem
Taras Banakh, Olena Hryniv
Two non-empty sets of a metric space are called parallel if for any points and . Answering a question posed on Mathoverflow, w…
The connected countable spaces of Bing and Ritter are topologically homogeneous
Iryna Banakh, Taras Banakh, Olena Hryniv +1
Answering a problem posed by the second author on Mathoverflow, we prove that the connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous.
Embedding topological semigroups into the hyperspaces over topological groups
Taras Banakh, Olena Hryniv
We study algebraic and topological properties of subsemigroups of the hyperspace exp(G) of non-empty compact subsets of a topological group G endowed with the Vietoris topology and…