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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 160–167
DOI: https://doi.org/10.33048/semi.2021.18.013 (Mi semr1354) 		 
Real, complex and functional analysis

Some remarks on Möbius structures

V. V. Aseev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.013
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-007
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314-2019-007).
Received February 3, 2020, published March 5, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C65
Language: English
Citation: V. V. Aseev, “Some remarks on Möbius structures”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 160–167
Citation in format AMSBIB
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\by V.~V.~Aseev
\paper Some remarks on M\"{o}bius structures
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 160--167
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\crossref{https://doi.org/10.33048/semi.2021.18.013}
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