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The Newton filtration and d-determination of bifurcation problems related to C~0 contact equivalence
作者姓名:SU Dan & ZHANG Dunmu School of Mathematics and Statistics  Wuhan University  Wuhan  China
作者单位:SU Dan & ZHANG Dunmu School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China
摘    要: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 C0 contact equivalence. The special cases of the main result in this paper are the results of Sun Weizhi and Zou Jiancheng.


The Newton filtration and d-determination of bifurcation problems related to C0 contact equivalence
SU Dan & ZHANG Dunmu School of Mathematics and Statistics,Wuhan University,Wuhan ,China.The Newton filtration and d-determination of bifurcation problems related to C~0 contact equivalence[J].Science in China(Mathematics),2006,49(5).
Authors:SU Dan  ZHANG Dunmu
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 C0 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  C0 contact equivalence
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