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Contractibility of deformation spaces of \(G\)-trees. (English) Zbl 1120.20027
Summary: 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.
Reviewer: Reviewer (Berlin)

20E08 Groups acting on trees
20F65 Geometric group theory
20F28 Automorphism groups of groups
57M07 Topological methods in group theory
Full Text: DOI EMIS EuDML arXiv
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