Trees and ultrametric M\"obius structures

TL;DR

This paper introduces ultrametric M"obius spaces and uses them to characterize a class of geodesically complete trees, providing a new mathematical framework for understanding their structure.

Contribution

It defines ultrametric M"obius spaces and applies this concept to characterize nonelementary geodesically complete trees.

Findings

Ultrametric M"obius spaces are useful for characterizing certain trees.

The paper provides a new framework for understanding geodesically complete trees.

It establishes a connection between M"obius structures and tree geometry.

Abstract

We define the concept of an ultrametric M\"obius space and use this to characterize nonelementary geodesically complete trees.