English

On weakly m-convex sets

Metric Geometry 2017-03-21 v1

Abstract

There were obtained some properties of weakly m-convex sets. Various kinds of the problem of shadow were investigated. There was obtained the lower estimation for the number of balls that are necessary to create a shadow at the point of the sphere in three-dimensional Euclidean space

Keywords

Cite

@article{arxiv.1703.06785,
  title  = {On weakly m-convex sets},
  author = {Hajdzhaa Dakhil and Yurii Zelinskii and Bogdan Klishchuk},
  journal= {arXiv preprint arXiv:1703.06785},
  year   = {2017}
}

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in Russian

R2 v1 2026-06-22T18:51:03.723Z