23 citations · 80 across the 18 of their papers we have counts for
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math.DG2017★ 9 cited
Fine properties of the curvature of arbitrary closed sets
Mario Santilli
Given an arbitrary closed set A of , we establish the relation between the eigenvalues of the approximate differential of the spherical image map of A and the princ…
math.CA2017★ 3 cited
A geometric second-order-rectifiable stratification for closed subsets of Euclidean space
Ulrich Menne, Mario Santilli
Defining the -th stratum of a closed subset of an dimensional Euclidean space to consist of those points, where it can be touched by a ball from at least linearly inde…
math.CA2017★ 23 cited
Rectifiability and approximate differentiability of higher order for sets
Mario Santilli
The main goal of this paper is to develop a concept of approximate differentiability of higher order for subsets of the Euclidean space that allows to characterize higher order rec…