1.
Rev R Acad Cienc Exactas Fis Nat A Mat
; 118(3): 118, 2024.
Article
in English
| MEDLINE
| ID: mdl-38784449
ABSTRACT
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we characterize all homogeneous isosceles-free spaces up to isometry as vector spaces over the two-element field, endowed with an injective norm. Using isosceles-free decompositions, we provide bounds on the maximal number of distances in arbitrary homogeneous finite metric spaces.