Geodesic
Some remarks on Möbius structures
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 160-167
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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: ptolemaic semimetric
Mots-clés : Möbius structure, Möbius space, ptolemaic Möbius structure, Möbius equivalence of semimetrics. 
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V. V. Aseev. Some remarks on Möbius structures. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 160-167. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a41/

[1] S.V. Buyalo, “Möbius and submöbius structures”, St. Petersburg Math. J., 28:5 (2017), 555–568 | DOI | MR | Zbl

[2] V.V. Aseev, “Generalized angles in Ptolemaic Möbius structures”, Siberian Math. J., 59:2 (2018), 241–256 | DOI | MR | Zbl