Criteria for cuspidal Sk singularities and their applications

Abstract

We give useful criteria for S1 singularities in the Mond classification table, and cuspidal Sk singularities. As applications, we give a simple proof of a result given by Mond and a characterization of cuspidal Sk singularities for the composition of a cuspidal edge and a fold map indicated by Arnol'd for the case k=1.

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