On Lipschitz compactifications of trees
Benoit Kloeckner (IF)
TL;DR
This paper investigates Lipschitz structures on the geodesic compactification of regular trees, showing their similarity to Floyd's compactifications and providing a complete classification.
Contribution
It offers a comprehensive description of Lipschitz compactifications of trees that are invariant under automorphisms, connecting them to Floyd's compactifications.
Findings
Lipschitz structures are preserved by automorphisms
They are similar to Floyd's compactifications
A complete classification is provided
Abstract
We study the Lipschitz structures on the geodesic compactification of a regular tree, that are preserved by the automorphism group. They are shown to be similar to the compactifications introduced by William Floyd, and a complete description is given.
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