Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators

Im, Young; Kim, Yongkuk

doi:10.1090/S0002-9939-00-05998-0

Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators
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by Young Ho Im and Yongkuk Kim PDF

Proc. Amer. Math. Soc. 129 (2001), 2135-2140 Request permission

Abstract:

Fibrators help detect approximate fibrations. A closed, connected $n$-manifold $N$ is called a codimension-2 fibrator if each map $p:\ M \to B$ defined on an $(n+2)$-manifold $M$ such that all fibre $p^{-1}(b), b\in B$, are shape equivalent to $N$ is an approximate fibration. The most natural objects $N$ to study are s-Hopfian manifolds. In this note we give some necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators.

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