Volume 17, issue 2 (2017)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Indecomposable nonorientable $\mathrm{PD}_3$–complexes

Jonathan A Hillman

Algebraic & Geometric Topology 17 (2017) 645–656
Abstract

We show that the orientable double covering space of an indecomposable, nonorientable PD3–complex has torsion-free fundamental group.

Keywords
$\mathrm{PD}_3$–complex, nonorientable, virtually free
Mathematical Subject Classification 2010
Primary: 57P10
Secondary: 57N10
References
Publication
Received: 16 March 2014
Revised: 31 July 2016
Accepted: 27 September 2016
Published: 14 March 2017
Authors
Jonathan A Hillman
School of Mathematics and Statistics F07
University of Sydney
Sydney NSW 2006
Australia