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math.MG2024
On generalized metrics of Vandermonde type
Wolf-Jürgen Beyn
In a series of papers in the 1960's, S. Gähler defined and investigated so-called m-metric spaces and their topological properties. An m-metric assigns to any tuple of m+1 elements…
math.MG2023
On a generalized notion of metrics
Wolf-Jürgen Beyn
In these notes we generalize the notion of a (pseudo) metric measuring the distance of two points, to a (pseudo) n-metric which assigns a value to a tuple of n points. We present t…