Codimension 2 fibrators that are closed under finite product

In this paper, we show that ifNmis a closed manifold with hyperhopfian fundamental group,πi(N)=0for1<i≤nandSnis a simply connected manifold, thenNm×Snsatisfies the property that all proper, surjective maps from an orientable(n+2)-manifoldMto a2-manifoldBfor which eachp−1(b)is homotopy equivalent toNm×Snnecessarily are approximate fibrations.