Algebraic & Geometric Topology

Indecomposable nonorientable $\mathrm{PD}_3$–complexes

Jonathan Hillman

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

Article information

Algebr. Geom. Topol., Volume 17, Number 2 (2017), 645-656.

Received: 16 March 2014
Revised: 31 July 2016
Accepted: 27 September 2016
First available in Project Euclid: 19 October 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57P10: Poincaré duality spaces
Secondary: 57N10: Topology of general 3-manifolds [See also 57Mxx]

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


Hillman, Jonathan. Indecomposable nonorientable $\mathrm{PD}_3$–complexes. Algebr. Geom. Topol. 17 (2017), no. 2, 645--656. doi:10.2140/agt.2017.17.645.

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