On the singular points approached by the medial axis

Abstract

This paper develops the notion of superquadracity defined by L.Birbrair and M.Denkowski for subsets of Rn. In this regard, the main theorem of the paper establishes the relation between the superquadracity and non-empty intersection of the set and the closure of its medial axis. The further investigation concerns non C1 smooth points of the set.

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