Abstract
We study the class of similarly homogeneous locally complete ℝ-trees with some additional requirements. In particular, vertical and strictly vertical ℝ-trees are defined. The metric classification of strictly vertical ℝ-trees is made: it is shown that every such ℝ-tree is isometric to some model ℝ-tree. For the vertical ℝ-trees which are not strictly vertical it is shown that their branching number is at least continuum.
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(Submitted by E. K. Lipachev)
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Andreev, P.D., Bulygin, A.I. On the Vertical Similarly Homogeneous R-Trees. Lobachevskii J Math 40, 127–139 (2019). https://doi.org/10.1134/S1995080219020033
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DOI: https://doi.org/10.1134/S1995080219020033