Zig-zag chains and metric equivalences between ultrametric spaces
Geometric Topology
2009-09-02 v1 Combinatorics
Abstract
We study the classification of ultrametric spaces based on their small scale geometry (uniform homeomorphism), large scale geometry (coarse equivalence) and both (all scale uniform equivalences). We prove that these equivalences can be characterized with parallel constructions using a combinatoric tool called common zig-zag chain.
Cite
@article{arxiv.0909.0153,
title = {Zig-zag chains and metric equivalences between ultrametric spaces},
author = {Álvaro Martínez-Pérez},
journal= {arXiv preprint arXiv:0909.0153},
year = {2009}
}
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16 pages