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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Codimension 2 nonfibrators with finite fundamental groups
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by R. J. Daverman PDF
Proc. Amer. Math. Soc. 127 (1999), 881-888 Request permission

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.
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Additional 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