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Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators |
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| Authors: | Young Ho Im Yongkuk Kim |
| Affiliation: | Department of Mathematics, Pusan National University, Pusan, 609-735, Korea ; Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea |
| Abstract: | Fibrators help detect approximate fibrations. A closed, connected  -manifold  is called a codimension-2 fibrator if each map  defined on an  -manifold  such that all fibre  , are shape equivalent to  is an approximate fibration. The most natural objects  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. |
| Keywords: | Codimension-2 fibrator s-Hopfian manifold Hopfian group approximate fibration |
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