Connected sums of manifolds which induce approximate fibrations

Kim, Yongkuk

doi:10.1090/S0002-9939-00-05385-5

Connected sums of manifolds which induce approximate fibrations
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Proc. Amer. Math. Soc. 128 (2000), 1497-1506 Request permission

Abstract:

Codimension-2 fibrators are $n$-manifolds which automatically induce approximate fibration, in the following sense: given any proper mapping $p$ from an $(n+2)$-manifold onto a $2$-manifold such that each point-preimage is a copy of the codimension-2 fibrator, $p$ is necessarily an approximate fibration. In this paper, we give some answers to the following question: given an $n$-manifold $N$ which is a nontrivial connected sum, when is $N$ a codimension-2 fibrator?

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