Maps with finitely many critical points into high dimensional manifolds
Résumé
Assume that there exists a smooth map between two closed manifolds M-m -> N-k, where 2 <= k <= m <= 2k-1, with only finitely many singular points, all of which are cone-like. If(m,k)is not an element of{(2,2),(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.
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