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On the bordification of outer space
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Bux, Kai-Uwe, Smillie, Peter and Vogtmann, Karen (2018) On the bordification of outer space. Journal of the London Mathematical Society, 98 (1). pp. 12-34. doi:10.1112/jlms.12124 ISSN 1469-7750.
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Official URL: https://doi.org/10.1112/jlms.12124
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 Out(Fn) is a virtual duality group.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Manifolds (Mathematics) , Affine algebraic groups | ||||||||||||
Journal or Publication Title: | Journal of the London Mathematical Society | ||||||||||||
Publisher: | Cambridge University Press | ||||||||||||
ISSN: | 1469-7750 | ||||||||||||
Official Date: | August 2018 | ||||||||||||
Dates: |
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Volume: | 98 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | pp. 12-34 | ||||||||||||
DOI: | 10.1112/jlms.12124 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 19 February 2018 | ||||||||||||
Date of first compliant Open Access: | 20 June 2018 | ||||||||||||
RIOXX Funder/Project Grant: |
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