@Article{CMR-26-1, author = {Chen , LiangSun , Weizhi and Pei , Donghe}, title = {Contact Finite Determinacy of Relative Map Germs}, journal = {Communications in Mathematical Research }, year = {2021}, 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/}, url = {http://global-sci.org/intro/article_detail/cmr/19172.html} }