On semiconvexity and weak semiconvexity
Geometric Topology
2017-11-15 v1
Abstract
Properties of two classes of generally convex sets in the n-dimentional real Euclidean space, called m-semiconvex and weakly m-semiconvex, 1<=m<n, are investigated in the present work. In particular, it is established that an open set with smooth boundary in the plan which is weakly 1-semiconvex but not 1-semiconvex consists minimum of four simply connected components.
Keywords
Cite
@article{arxiv.1711.04757,
title = {On semiconvexity and weak semiconvexity},
author = {Tetiana Osipchuk},
journal= {arXiv preprint arXiv:1711.04757},
year = {2017}
}