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math.MG2023
Fat triangles inscribed in arbitrary planar domains
Ivan Yuri Violo
In 1964 A. Bruckner observed that any bounded open set in the plane has an inscribed triangle, that is a triangle contained in the open set and with the vertices lying on the bound…
math.MG2021
A remark on two notions of flatness for sets in the Euclidean space
Ivan Yuri Violo
In this note we compare two ways of measuring the -dimensional "flatness" of a set , where and . The first one is to consider the c…