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Corrigendum to: “Unfoldings in knot theory”. (English) Zbl 0675.57011
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.
Reviewer: G.Lang

##### MSC:
 57Q45 Knots and links in high dimensions (PL-topology) (MSC2010) 32S05 Local complex singularities 57M25 Knots and links in the $$3$$-sphere (MSC2010) 14E25 Embeddings in algebraic geometry 58C25 Differentiable maps on manifolds 58K99 Theory of singularities and catastrophe theory
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##### References:
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