5 citations · 10 across the 14 of their papers we have counts for
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math.GN2016
On definable multifunctions and Łojasiewicz inequalities
Maciej P. Denkowski, Paulina Pełszyńska
We investigate several possibilities of obtaining a Łojasiewicz inequality for definable multifunctions and give some examples of applications thereof. In particular, we prove that…
math.MG2016
On Yomdin's version of a Lipschitz Implicit Function Theorem and the geometry of medial axes
Maciej P. Denkowski
In his beautiful paper on the central set from 1981, Y. Yomdin makes use of a Lipschitz Inverse Function Theorem that seemingly has been unproved until now. After a brief discussio…
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…