Contractibility of deformation spaces of G-trees

Details Contractibility of deformation spaces of G-trees Contractibility of deformation spaces of G-trees

2005-11-24

arxiv.org/abs/math/0511615v1

Algebr. Geom. Topol. 5 (2005) 1481-1503

Mathematics

Group Theory

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-59.abs.html

Scientific paper

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.

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