Mladen Bestvina, Patrick Reynolds
Published 2012-11-15, updated 2013-04-02Version 2
We give a description of the boundary of a complex of free factors that is analogous to E. Klarreich's description of the boundary of a curve complex. The argument uses the geometry of folding paths developed by Bestvina and Feighn as well as structural results about very small trees developed by Coulbois, Hilion, Lustig, and Reynolds.
Comments: 34 pages. minor updates for submission
Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex
Geometric Intersection Number and analogues of the Curve Complex for free groups
Subfactor projections
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