English

Criteria for cuspidal S_k singularities and their applications

Geometric Topology 2010-05-04 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0905.2357,
  title  = {Criteria for cuspidal S_k singularities and their applications},
  author = {Kentaro Saji},
  journal= {arXiv preprint arXiv:0905.2357},
  year   = {2010}
}

Comments

17 pages, 6figures

R2 v1 2026-06-21T13:02:19.357Z