Maps with finitely many critical points into high dimensional manifolds

Abstract

Assume that there exists a smooth map between two closed manifolds M m → N k with only finitely many cone-like singular points, where 2 4, 3), (5, 3), (8, 5), (16, 9)}, then M m admits a locally trivial topological fibration over N k and there exists a smooth map M m → N k with at most one critical point.