On semiconvexity of open sets with smooth boundary in the plane

The present work considers properties of classes of generally convex sets in the plane known as 1-semiconvex and weakly 1-semiconvex. More specifically, it is proved that open, weakly 1-semiconvex but not 1-semiconvex set with smooth boundary in the plane consists of not less than four connected com...

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Bibliographic Details
Main Author: Tetiana Osipchuk
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2020-05-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1710