T. Osipchuk

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20172024

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math.MG2021

Topological properties of closed weakly $m$ -convex sets

Tetiana Osipchuk

The present work considers the properties of generally convex sets in the $n$ -dimensional real Euclidean space $R^{n}$ , $n > 1$ , known as weakly $m$ -convex, $m = 1, 2, \dots, n - 1$ …

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 $1$ -semiconvex and weakly $1$ -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 $R^{n}$ , are conside…

Topological properties of closed weakly m-convex sets

On semiconvex sets in the plane

Some remarks about system of balls that generate shadow at point

Topological properties of closed weakly $m$ -convex sets