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

DOI:
https://doi.org/10.1090/S0002-9939-1984-0722436-2

MathSciNet review:
722436

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that every -homology -manifold (without boundary) which is an almost -acyclic (over ) 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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1984-0722436-2

Keywords:
Generalized -manifolds,
resolutions,
neighborhoods of compacta in nonorientable -manifolds

Article copyright:
© Copyright 1984
American Mathematical Society