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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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 $ 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0722436-2
PII: S 0002-9939(1984)0722436-2
Keywords: Generalized $ 3$-manifolds, resolutions, neighborhoods of compacta in nonorientable $ 3$-manifolds
Article copyright: © Copyright 1984 American Mathematical Society