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math.ST2022
Statistical analysis of measures of non-convexity
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno +1
Several measures of non-convexity (departures from convexity) have been introduced in the literature, both for sets and functions. Some of them are of geometric nature, while other…
math.GT2022
An -convex set which is not locally contractible
Alejandro Cholaquidis
The study of shape restrictions of subsets of have several applications in many areas, being convexity, -convexity, and positive reach, some of the most famous, a…