Contractibility of deformation spaces of G-trees

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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. AMS Classification 20E08; 20F65, 20F28

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ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2005

ISSN: 1472-2739,1472-2747

DOI: 10.2140/agt.2005.5.1481