Decompositions into codimension two submanifolds that induce approximate fibrations

• Published in: Topology and its applications Vol. 56; no. 1; pp. 1 - 11
• Main Author: Im, Young Ho
• Format: Journal Article
• Language: English
• 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

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...