On Lipschitz compactifications of trees

Benoit Kloeckner (1)

1 IF - Institut Fourier

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.

Mots clés: compactification; trees

Domaines: Géométrie métrique [math.MG]

Benoit Kloeckner. On Lipschitz compactifications of trees. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2008, 346, pp.413-416. ⟨10.1016/j.crma.2008.02.011⟩. ⟨hal-00273450⟩