The continuum self-similar tree
Geometric Topology
2020-02-25 v2 Complex Variables
Abstract
We introduce the continuum self-similar tree (CSST) and characterize it topologically. We apply this to answer a question of Curien about the topology of the continuum random tree (CRT). We also give a topological characterization of other trees with branch points of finite or infinite valences.
Keywords
Cite
@article{arxiv.1803.09694,
title = {The continuum self-similar tree},
author = {Mario Bonk and Huy Tran},
journal= {arXiv preprint arXiv:1803.09694},
year = {2020}
}
Comments
Revised version