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
Hillman, Jonathan  1
@article{10_2140_agt_2017_17_645,
author = {Hillman, Jonathan},
title = {Indecomposable nonorientable {PD3{\textendash}complexes}},
journal = {Algebraic and Geometric Topology},
pages = {645--656},
year = {2017},
volume = {17},
number = {2},
doi = {10.2140/agt.2017.17.645},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.645/}
}
Hillman, Jonathan. Indecomposable nonorientable PD3–complexes. Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 645-656. doi: 10.2140/agt.2017.17.645
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