#### Vol. 308, No. 1, 2020

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

Vol. 308 (2020), No. 1, 1–40
##### Abstract

We give upper bounds, linear in the 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.

##### Keywords
free factor graph, free factor complex, boundary, topological dimension, automorphism, free group
##### Mathematical Subject Classification 2010
Primary: 20F28, 20F65