Real, complex and functional analysis

Some remarks on Möbius structures

V. V. Aseev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia

Abstract: Some elementary relations between semimetrics in a Möbius structure allow us to give a correct definition of subspaces of a Möbius space and obtain the solutions in the problem of junction for Ptolemaic Möbius spaces as well as the problem of extending the Möbius structure from a subset to the whole set.

Keywords: Möbius structure, Möbius space, ptolemaic semimetric, ptolemaic Möbius structure, Möbius equivalence of semimetrics.

UDC: 517.54

MSC: 30C65

Received February 3, 2020, published March 5, 2021

Language: English

DOI: 10.33048/semi.2021.18.013

Bibliographic databases:

•