1 citations · 1 across the 6 of their papers we have counts for
6 papers
On weakly -convex and weakly -semiconvex sets
Tetiana M. Osipchuk
The present work concerns generalized convex sets in the real multi-dimensional Euclidean space, known as weakly -convex and weakly -semiconvex sets. An open set is called we…
Topological properties of closed weakly -convex sets
Tetiana Osipchuk
The present work considers the properties of generally convex sets in the -dimensional real Euclidean space , , known as weakly -convex, …
On semiconvex sets in the plane
T. M. Osipchuk
The present work considers the properties of classes of generally convex sets in the plane known as -semiconvex and weakly -semiconvex. More specifically, the examples of ope…
Some remarks about system of balls that generate shadow at point
Tetiana Osipchuk
Problems, related to the determination of the minimal number of balls that generate a shadow at a fixed point in the multi-dimensional Euclidean space , are conside…
On semiconvexity and weak semiconvexity
Tetiana Osipchuk
Properties of two classes of generally convex sets in the n-dimentional real Euclidean space, called m-semiconvex and weakly m-semiconvex, 1<=m<n, are investigated in the present w…
On the shadow problem for domains in the Euclidean spaces
Tetiana Osipchuk
In the present work, the problem about shadow, generalized on domains of space , , is investigated. Here the shadow problem means to find the minimal number o…