Algebraic & Geometric Topology 5 (2005) 1481–1503

DOI: 10.2140/agt.2005.5.1481

arXiv: math.GR/0511615

Abstract

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.

Keywords

G–tree, deformation space, Outer space

Mathematical Subject Classification

Primary: 20E08

Secondary: 20F28, 20F65

References

Forward citations

Publication

Received: 19 November 2004
Accepted: 20 October 2005
Published: 1 November 2005

Authors