Homogeneous isosceles-free spaces

0586501 - MÚ 2025 RIV DE eng J - Článek v odborném periodiku
Bargetz, C. - Bartoš, Adam - Kubiś, Wieslaw - Luggin, F.
Homogeneous isosceles-free spaces.
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Roč. 118, č. 3 (2024), č. článku 118. ISSN 1578-7303. E-ISSN 1579-1505
Grant CEP: GA ČR(CZ) GX20-31529X
Institucionální podpora: RVO:67985840
Klíčová slova: homogeneity * isometry group * isosceles-free metric space
Obor OECD: Pure mathematics
Impakt faktor: 2.9, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s13398-024-01587-y

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.
Trvalý link: https://hdl.handle.net/11104/0353967