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On the topological
dimension of the Gromov boundaries of some hyperbolic
${\mathrm{Out}}(F_N)$-graphs
Mladen Bestvina, Camille Horbez and Richard D. Wade |
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Vol. 308 (2020), No. 1, 1–40
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Abstract |
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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. |
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Keywords
free factor graph, free factor complex, boundary,
topological dimension, automorphism, free group
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Mathematical Subject Classification 2010
Primary: 20F28, 20F65
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Milestones
Received: 12 February 2019
Revised: 20 December 2019
Accepted: 7 May 2020
Published: 3 December 2020
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Authors |
| Mladen Bestvina | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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| Camille Horbez | |
| Laboratoire de Mathématiques
d’Orsay Université Paris Sud, CNRS Université Paris-Saclay Orsay France |
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| Richard D. Wade | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
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