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arxiv: 1703.06785 · v1 · pith:U6FK6DMVnew · submitted 2017-03-17 · 🧮 math.MG

On weakly m-convex sets

classification 🧮 math.MG
keywords m-convexobtainedsetsshadowthereweaklywereballs
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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

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