2 papers
math.MG2020
A solution to two old problems by Menger concerning angle spaces
Luis Felipe Prieto-Martínez
Around 1930, K. Menger expressed his interest in the concept of abstract angle function. He introduced a general definition of this notion for metric and semi-metric spaces. He als…
math.MG2020
Generalization of Kimberling's concept of triangle center for other polygons
Luis Felipe Prieto-Martínez, Raquel Sánchez-Cauce
In this article we introduce a general definition of the concept of center of an -gon, for , generalizing the idea of C. Kimberling for triangle. We define centers asso…