Resolving acyclic images of nonorientable three-manifolds

Repovš, Dušan; Lacher, R. C.

doi:10.1090/S0002-9939-1984-0722436-2

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Resolving acyclic images of nonorientable three-manifolds

Authors: Dušan Repovš and R. C. Lacher
Journal: Proc. Amer. Math. Soc. 90 (1984), 157-161
MSC: Primary 57P05; Secondary 57M35, 57N10, 57P99
MathSciNet review: 722436
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Abstract: We show that every $1 - {\text{LC}}$ ${{\mathbf{Z}}_2}$ -homology -manifold (without boundary) which is an almost -acyclic (over ${{\mathbf{Z}}_2}$ ) proper image of a nonorientable -manifold (without boundary) is a resolvable generalized -manifold. The analogous result for the case when is orientable was recently proved by J. L. Bryant and R. C. Lacher.

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