Codimension 2 fibrators that are closed under finite product
In this paper, we show that if Nm is a closed manifold with hyperhopfian fundamental group, πi(N)=0 for 1<i≤n and Sn is a simply connected manifold, then Nm×Sn satisfies the property that all proper, surjective maps from an orientable (n+2)-manifold M to a 2-manifold B for which each p−1(b) is h...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298001124 |
| Summary: | In this paper, we show that if Nm is a closed manifold with hyperhopfian fundamental
group, πi(N)=0 for 1<i≤n
and Sn is a simply connected manifold, then Nm×Sn satisfies the
property that all proper, surjective maps from an orientable (n+2)-manifold M to a 2-manifold B for
which each p−1(b) is homotopy equivalent to Nm×Sn necessarily are approximate fibrations. |
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| ISSN: | 0161-1712 1687-0425 |