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arxiv: 1709.01296 · v2 · pith:ZZJB4KFAnew · submitted 2017-09-05 · 🧮 math.GR

On the bordification of outer space

classification 🧮 math.GR
keywords bordificationouterspacebestvina-feighnconnectedconstructiondeformationduality
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We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof that the bordification is (2n-5)-connected at infinity, and hence that $Out(F_n)$ is a virtual duality group.

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