3 papers
math.MG2020
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…
math.MG2017
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…
math.GT2017
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…