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

• Дата: 2021
• Автори: Osipchuk , Т. М., Осіпчук, Т. М.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/6890
• Назва журналу: 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...