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The newton filtration and d-determination of bifurcation problems related to C0 contact equivalence
Authors:Su Dan and Zhang Dunmu
Affiliation:(1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
Abstract:In this paper, from the Newton filtration’s point of view, we construct the singular Riemannian metric and use the method in singular theory to study the bifurcation problems, and give the sufficient condition of d-determination of bifurcation problems with respect to C 0 contact equivalence. The special cases of the main result in this paper are the results of Sun Weizhi and Zou Jiancheng.
Keywords:map germ  Newton filtration  singular Riemannian metric   C 0 contact equivalence
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