Codimension 2 nonfibrators with finite fundamental groups

Daverman, R.

doi:10.1090/S0002-9939-99-05192-8

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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