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Contractibility of deformation spaces of G-trees

Forester has defined spaces of simplicial tree actions for a finitely generated group, called deformation spaces. Culler and Vogtmann's Outer space is an example of a deformation space. Using ideas from Skora's proof of the contractibility of Outer space, we show that under some mild hypotheses deformation spaces are contractible.

preprint2005arXivOpen access
Matt Clay
math.GRmath.GT
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Matt Clay

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