Asymptotic dimension of planes and planar graphs [article]

Koji Fujiwara, Panos Papasoglu
2021 arXiv   pre-print
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.
arXiv:2002.01630v2 fatcat:5csukjmg25bqnm77jbmtf7z4y4