33 citations · 687 across the 231 of their papers we have counts for
18 papers · 1 filter
-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…
Manifolds admitting a continuous cancellative binary operation are orientable
Taras Banakh, Igor Guran, Alex Ravsky
We prove that a topological manifold (possibly with boundary) admitting a continuous cancellative binary operation is orientable. This implies that the Möbius band admits no cancel…
Universal nowhere dense and meager sets in Menger manifolds
Taras Banakh, Dusan Repovs
In each Menger manifold we construct: (i) a closed nowhere dense subset which is homeomorphic to and is universal nowhere dense in the sense that for each nowhere den…
Universal meager -sets in locally compact manifolds
Taras Banakh, Dusan Repovs
In each manifold modeled on a finite or infinite dimensional cube we construct a meager -subset which is universal meager in the sense that for each…
Universal nowhere dense subsets of locally compact manifolds
Taras Banakh, Dusan Repovs
In each manifold modeled on a finite or infinite dimensional cube we construct a closed nowhere dense subset (called a spongy set) which is a universal n…
Topologically invariant -ideals on the Hilbert cube
Taras Banakh, Michal Morayne, Robert Ralowski +1
We study and classify topologically invariant -ideals with a Borel base on the Hilbert cube and evaluate their cardinal characteristics. One of the results of this paper solves…