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.
Main Authors: | Fujiwara, K, Papasoglu, P |
---|---|
Format: | Journal article |
Language: | English |
Published: |
American Mathematical Society
2021
|
Similar Items
-
GROWTH AND ISOPERIMETRIC PROFILE OF PLANAR GRAPHS
by: Benjamini, I, et al.
Published: (2011) -
Growth and isoperimetric profile of planar graphs
by: Benjamini, I, et al.
Published: (2010) -
Group splittings and asymptotic topology
by: Papasoglu, P
Published: (2002) -
Splittings and the asymptotic topology of the lamplighter group
by: Papasoglu, P
Published: (2009) -
Splittings and the Asymptotic Topology of the lamplighter group
by: Papasoglu, P
Published: (2012)