On the topological dimension of the Gromov boundaries of some hyperbolic $Out(F_N)$-graphs

Abstract

We give upper bounds, linear in rank, to the topological dimensions of the Gromov boundaries of the intersection graph, the free factor graph and the cyclic splitting graph of a finitely generated free group.

34 pages, 5 figures. Accepted version for the Pacific Journal of Mathematics

References in corpus (2)

• The co-surface graph and the geometry of hyperbolic free group extensions
• Asymptotic dimension and the disk graph II

Cited by in corpus (1)

• Random trees in the boundary of Outer space