V. V. Aseev, “Some remarks on Möbius structures”, Сиб. электрон. матем. изв., 2021, том 18, выпуск 1,страницы 160

Вещественный, комплексный и и функциональный анализ

Some remarks on Möbius structures

V. V. Aseev

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

Аннотация: 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.

Ключевые слова: Möbius structure, Möbius space, ptolemaic semimetric, ptolemaic Möbius structure, Möbius equivalence of semimetrics.

УДК: 517.54

MSC: 30C65

Поступила 3 февраля 2020 г., опубликована 5 марта 2021 г.

Язык публикации: английский

DOI: 10.33048/semi.2021.18.013