Geodesic
On the geometry of similarly homogeneous $\mathbb{R}$-trees
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 3-15

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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. 
@article{IVM_2020_4_a0,
     author = {P. D. Andreev and A. I. Bulygin},
     title = {On the geometry of similarly homogeneous $\mathbb{R}$-trees},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_4_a0/}
}
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P. D. Andreev; A. I. Bulygin. On the geometry of similarly homogeneous $\mathbb{R}$-trees. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2020_4_a0/