Codimension 2 fibrators that are closed under finite product

Abstract

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.