Abstract
Let $P^{k}(n,2)$ be the set of all real polynomial map germs $f=(f_1,f_2):(\mathbb R^n,0) \rightarrow (\mathbb R^2,0)$ with degree of $f_1,f_2 \leq k$. The main result of this paper shows that the set of equivalence classes of $P^{k}(n,2)$, with respect to topological contact equivalence, is finite.
Citation
Lev BIRBRAIR. Jo\~{a}o Carlos Ferreira COSTA. Alexandre FERNANDES. "Finiteness theorem for topological contact equivalence of map germs." Hokkaido Math. J. 38 (3) 511 - 517, August 2009. https://doi.org/10.14492/hokmj/1258553974
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