English

Contractibility of deformation spaces of G-trees

Group Theory 2014-10-01 v1 Geometric Topology

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

Cite

@article{arxiv.math/0511615,
  title  = {Contractibility of deformation spaces of G-trees},
  author = {Matt Clay},
  journal= {arXiv preprint arXiv:math/0511615},
  year   = {2014}
}

Comments

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