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in the keywords:  m-convex set, weakly m-convex set, Grassmann manifold, conjugate set, shadow problem, 1-hull of family of sets
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https://doi.org/10.26485/0459-6854/2018/68.2/5 Badamy własności zbiorów s labo m-wypukłych w n-wymiarowej przestrzeni euklidesowej. Uzyskujemy oszacowania dla rożnych wariantów problemu cienia w ustalonym punkcie. Analizujemy również kilka nierozwiązanych zagadnień.
EN
https://doi.org/10.26485/0459-6854/2018/68.2/5 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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