On semiconvexity of open sets with smooth boundary in the plane

dc.contributor.authorTetiana Osipchuk
dc.date.accessioned2021-03-04T13:53:16Z
dc.date.available2021-03-04T13:53:16Z
dc.date.issued2020
dc.description.abstractThe 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 components.
dc.identifier.issn2409-8906
dc.identifier.urihttps://card-file.ontu.edu.ua/handle/123456789/16655
dc.sourceProceedings of the International Geometry Center
dc.titleOn semiconvexity of open sets with smooth boundary in the plane
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