Indecomposable nonorientable PD3–complexes

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The Journal

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 17 (2017) 645–656

DOI: 10.2140/agt.2017.17.645

We show that the orientable double covering space of an indecomposable, nonorientable ${PD}_{3}$ –complex has torsion-free fundamental group.

$\mathrm{PD}_3$–complex, nonorientable, virtually free

Primary: 57P10

Secondary: 57N10

Received: 16 March 2014

Revised: 31 July 2016

Accepted: 27 September 2016

Published: 14 March 2017

Jonathan A Hillman
School of Mathematics and Statistics F07 University of Sydney Sydney NSW 2006 Australia