Resolving acyclic images of nonorientable three-manifolds

Repovš, Dušan; Lacher, R. C.

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

Resolving acyclic images of nonorientable three-manifolds
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by Dušan Repovš and R. C. Lacher PDF

Proc. Amer. Math. Soc. 90 (1984), 157-161 Request permission

Abstract:

We show that every $1 - {\text {LC}}$ ${{\mathbf {Z}}_2}$-homology $3$-manifold (without boundary) which is an almost $1$-acyclic (over ${{\mathbf {Z}}_2}$) proper image of a nonorientable $3$-manifold $M$ (without boundary) is a resolvable generalized $3$-manifold. The analogous result for the case when $M$ is orientable was recently proved by J. L. Bryant and R. C. Lacher.

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Generalized three-manifolds with zero-dimensional singular set

A certain open manifold whose group is a unity

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