Topological and geometric properties of the set of 1-nonconvexity points of a weakly 1-convex set in the plane

• Date: 2021
• Main Authors: Osipchuk , Т. М., Осіпчук, Т. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6890
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 514.172 In the present work, we consider a class of generalized convex sets in the real plane known as weakly $1$-convex sets. For a set in the real Euclidean space $\mathbb{R}^n,$ $n\ge 2,$ it is said that a point of the complement of this set to the whole space $\mathbb{R}^n$ is an $\boldsymbo...