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math.MG2018★ 1 cited
UPC condition with parameter for subanalytic sets
Anna Denkowska, Maciej P. Denkowski
In 1986 Pawłucki and Pleśniak introduced the notion of {\sl uniformly polynomially cuspidal} (UPC) sets and proved that every relatively compact and fat subanalytic subset of ${\Rz…
math.MG2016
The Kuratowski convergence of medial axes and conflict sets
Adam Białożyt, Anna Denkowska, Maciej P. Denkowski
This paper consists of two parts. In the first one we study the behaviour of medial axes (skeletons) of closed sets in a connected complete Riemannian manifold under…