## Codimension 2 nonfibrators with finite fundamental groups

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- by R. J. Daverman
- Proc. Amer. Math. Soc.
**127**(1999), 881-888 - DOI: https://doi.org/10.1090/S0002-9939-99-05192-8
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## Abstract:

Fibrators are $n$-manifolds which automatically induce approximate fibrations, in the following sense: given any proper mapping $p$ from an $(n+k)$-manifold onto a finite-dimensional metric space such that, up to shape, each point-preimage is a copy of the fibrator, $p$ is necessarily an approximate fibration. This paper sets forth new examples, for the case $k=2$, of nonfibrators whose fundamental groups are finite.## References

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## Bibliographic Information

**R. J. Daverman**- Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300
- Email: daverman@novell.math.utk.edu
- Received by editor(s): May 24, 1997
- Additional Notes: This research was supported in part by NSF Grant DMS-9401086.
- Communicated by: Ralph Cohen
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**127**(1999), 881-888 - MSC (1991): Primary 55R65, 57N15, 57N10; Secondary 57S37, 57N55
- DOI: https://doi.org/10.1090/S0002-9939-99-05192-8
- MathSciNet review: 1646311