Year: 2010
Author: Liang Chen, Weizhi Sun, Donghe Pei
Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 1–6
Abstract
The strong contact finite determinacy of relative map germs is studied by means of classical singularity theory. We first give the definition of a strong relative contact equivalence (or $\mathcal{K}_{S,T}$ equivalence) and then prove two theorems which can be used to distinguish the contact finite determinacy of relative map germs, that is, $f$ is finite determined relative to $\mathcal{K}_{S,T}$ if and only if there exists a positive integer $k$, such that $\mathcal{M}^k (n)Ԑ(S; n)^p ⊂ T\mathcal{K}_{S,T}(f)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19172
Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 1–6
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: $\mathcal{K}_{S T}$ equivalent the tangent space of an orbit relative deformation finite determined relative to $\mathcal{K}_{S T}$