Criteria for cuspidal S_k singularities and their applications

Details Criteria for cuspidal S_k singularities and their applications Criteria for cuspidal S_k singularities and their applications

2009-05-14

arxiv.org/abs/0905.2357v2

Mathematics

Geometric Topology

17 pages, 6figures

Scientific paper

We give useful criteria for S_1 singularities in the Mond classification
table, and cuspidal S_k singularities. As applications, we give a simple proof
of a result given by Mond and a characterization of cuspidal S_k 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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