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...
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Hindawi Limited
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298001124 |
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doaj-40e0f82511214fe3a73b4219ba7153202020-11-24T23:48:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121481581810.1155/S0161171298001124Codimension 2 fibrators that are closed under finite productYoung Ho Im0Mee Kwang Kang1Ki Mun Woo2Department of Mathematics, Pusan National University, Pusan 609-735, KoreaDepartment of Mathematics, Dongeui University, Pusan 614-714, KoreaDepartment of Mathematics, Pusan National University, Pusan 609-735, KoreaIn 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.http://dx.doi.org/10.1155/S0161171298001124Approximate fibrationHopfian grouphyperhopfian groupHopfian manifold. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Young Ho Im Mee Kwang Kang Ki Mun Woo |
| spellingShingle |
Young Ho Im Mee Kwang Kang Ki Mun Woo Codimension 2 fibrators that are closed under finite product International Journal of Mathematics and Mathematical Sciences Approximate fibration Hopfian group hyperhopfian group Hopfian manifold. |
| author_facet |
Young Ho Im Mee Kwang Kang Ki Mun Woo |
| author_sort |
Young Ho Im |
| title |
Codimension 2 fibrators that are closed under finite product |
| title_short |
Codimension 2 fibrators that are closed under finite product |
| title_full |
Codimension 2 fibrators that are closed under finite product |
| title_fullStr |
Codimension 2 fibrators that are closed under finite product |
| title_full_unstemmed |
Codimension 2 fibrators that are closed under finite product |
| title_sort |
codimension 2 fibrators that are closed under finite product |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1998-01-01 |
| description |
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. |
| topic |
Approximate fibration Hopfian group hyperhopfian group Hopfian manifold. |
| url |
http://dx.doi.org/10.1155/S0161171298001124 |
| work_keys_str_mv |
AT younghoim codimension2fibratorsthatareclosedunderfiniteproduct AT meekwangkang codimension2fibratorsthatareclosedunderfiniteproduct AT kimunwoo codimension2fibratorsthatareclosedunderfiniteproduct |
| _version_ |
1725484172687966208 |