## Algebraic & Geometric Topology

### Contractibility of deformation spaces of G-trees

Matt Clay

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 5, Number 4 (2005), 1481-1503.

Dates
Accepted: 20 October 2005
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796486

Digital Object Identifier
doi:10.2140/agt.2005.5.1481

Mathematical Reviews number (MathSciNet)
MR2186106

Zentralblatt MATH identifier
1120.20027

#### Citation

Clay, Matt. Contractibility of deformation spaces of G-trees. Algebr. Geom. Topol. 5 (2005), no. 4, 1481--1503. doi:10.2140/agt.2005.5.1481. https://projecteuclid.org/euclid.agt/1513796486

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