@Article{CMR-26-1, author = {Liang, Chen and Weizhi, Sun and Pei, Donghe}, title = {Contact Finite Determinacy of Relative Map Germs}, journal = {Communications in Mathematical Research }, year = {2010}, volume = {26}, number = {1}, pages = {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 $\mathcal{M}^k (n)Ԑ(S; n)^p ⊂ T\mathcal{K}_{S,T}(f)$.
}, issn = {2707-8523}, doi = {https://doi.org/2010-CMR-19172}, url = {https://global-sci.com/article/81889/contact-finite-determinacy-of-relative-map-germs} }