Codimension 2 fibrators that are closed under finite product

In this paper, we show that if N m is a closed manifold with hyperhopfian fundamental group, π i ( N ) = 0 for 1 < i ≤ n and S n is a simply connected manifold, then N m × S n 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 N m × S n necessarily are approximate fibrations.