Asymptotic dimension of planes and planar graphs

We show that the asymptotic dimension of a geodesic space that is homeomorphic to a subset in the plane is at most three. In particular, the asymptotic dimension of the plane and any planar graph is at most three.

Bibliographic Details
Main Authors: Fujiwara, K, Papasoglu, P
Format: Journal article
Language:English
Published: American Mathematical Society 2021