Decompositions into codimension two submanifolds that induce approximate fibrations

In this paper, we show that any finite product N n of closed orientable surfaces of genus at least 2 satisfies the property that all proper, surjective mappings p from an orientable ( n+2)-manifold M to a 2-manifold B for which each p −1 ( b) is homotopy equivalent to N n necessarily are approximate...

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Bibliographic Details
Published inTopology and its applications Vol. 56; no. 1; pp. 1 - 11
Main Author Im, Young Ho
Format Journal Article
LanguageEnglish
Published Elsevier B.V 21.02.1994
Subjects
Approximate fibration
Cohomology ring
Fibrator
Hopfian group
Upper semicontinuous decomposition
Winding function
Cohomology ring
secondary 57N25, 54B15
Upper semicontinuous decomposition
Hopfian group
Fibrator
Primary 55R65, 57N15
Approximate fibration
Winding function
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Summary:In this paper, we show that any finite product N n of closed orientable surfaces of genus at least 2 satisfies the property that all proper, surjective mappings p from an orientable ( n+2)-manifold M to a 2-manifold B for which each p −1 ( b) is homotopy equivalent to N n necessarily are approximate fibrations.
ISSN:0166-8641
1879-3207
DOI:10.1016/0166-8641(94)90104-X