On the bordification of outer space
Group Theory
2018-04-04 v2
Abstract
We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof that the bordification is (2n-5)-connected at infinity, and hence that is a virtual duality group.
Cite
@article{arxiv.1709.01296,
title = {On the bordification of outer space},
author = {Kai-Uwe Bux and Peter Smillie and Karen Vogtmann},
journal= {arXiv preprint arXiv:1709.01296},
year = {2018}
}
Comments
Accepted version, to appear in the Journal of the London MS. Section 7, giving the homeomorphism to the Bestvina-Feighn bordification, has been substantially revised