Zig-zag chains and metric equivalences between ultrametric spaces

Álvaro Martínez-Pérez

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arXiv · 0909.0153

Zig-zag chains and metric equivalences between ultrametric spaces

Álvaro Martínez-Pérez

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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.

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BibTeX RIS

Álvaro Martínez-Pérez. 2009-09-01. Zig-zag chains and metric equivalences between ultrametric spaces. https://arxiv.org/abs/0909.0153

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