Corrigendum to: ``Unfoldings in knot theory''
This paper corrects an error in the authors' ``Unfoldings in knot theory'' [reviewed above (see Zbl 0675.57010)]. In the original paper various theorems were stated about ``good'' polynomial maps f: \(C^ n\to C\) including the claim that the link at infinity always has a ``Milnor fibration''. The map \(f(x,y)=x^ 2y+x\) has no singularities but the link at infinity is not a fiberable link. The results of the original paper all hold with a modified definition of ``good''. The fiber \(f^{-1}(c)\) of f is regular if there is a neighborhood D of c in C such that \(f| f^{-1}(D): f^{-1}(D)\to D\) is a locally trivial \(C^{\infty}\) map and regular at infinity if there is a neighborhood D of c in C and a compact set K in \(C^ N\) such that \(f| f^{-1}(D)-K: f^{-1}(D)- K\to D\) is a locally trivial \(C^{\infty}\) fibration. The polynomial map f: \(C^ n\to C\) is good if every fiber is regular at infinity. Regular is equivalent to regular at infinity and non-singular.
scientific article; zbMATH DE number 4105879