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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 4, Pages 3–15
DOI: https://doi.org/10.26907/0021-3446-2020-4-3-15 (Mi ivm9557) 		 
On the geometry of similarly homogeneous $\mathbb{R}$-trees

P. D. Andreev, A. I. Bulygin

Northern (Arctic) Federal University named after M.V. Lomonosov, 17 Severnaya Dvina Emb., Arkhangelsk, 163002 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-4-3-15
Abstract: We study the geometry of the locally complete similarly homogeneous $\mathbb R$-trees. We prove the existence theorem for the class of vertical $\mathbb R$-trees which are not strongly vertical introduced earlier. The analogous method is applicable to other classes of locally complete similarly homogeneous $\mathbb R$-trees.
Keywords: similarly homogenous space, vertical $\mathbb R$-tree, saw-like function.
Received: 25.03.2019
Revised: 25.03.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 4, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X20040015
Bibliographic databases:
Document Type: Article
UDC: 514.774
Language: Russian
Citation: P. D. Andreev, A. I. Bulygin, “On the geometry of similarly homogeneous $\mathbb{R}$-trees”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4, 3–15; Russian Math. (Iz. VUZ), 64:4 (2020), 1–11
Citation in format AMSBIB
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