Weakly m-convex sets and the shadow problem

Authors

  • Bogdan A. Klishchuk Institute of Mathematics, National Academy of Sciences of Ukraine

DOI:

https://doi.org/10.26485/0459-6854/2018/68.2/5

Keywords:

m-convex set, weakly m-convex set, Grassmann manifold, conjugate set, shadow problem, 1-hull of family of sets

Abstract

In this paper we study some properties of weakly m-convex sets in n-dimensional Euclidean space. We obtain estimates for different variants of the shadow problem at a fixed point. We discuss unsolved questions related to this problem.

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Published

2019-04-26

Issue

Vol. 68 No. 2 (2018)

Section

Articles