Open Access
August 2009 Finiteness theorem for topological contact equivalence of map germs
Lev BIRBRAIR, Jo\~{a}o Carlos Ferreira COSTA, Alexandre FERNANDES
Hokkaido Math. J. 38(3): 511-517 (August 2009). DOI: 10.14492/hokmj/1258553974
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.

Copyright © 2009 Hokkaido University, Department of Mathematics
Lev BIRBRAIR, Jo\~{a}o Carlos Ferreira COSTA, and Alexandre FERNANDES "Finiteness theorem for topological contact equivalence of map germs," Hokkaido Mathematical Journal 38(3), 511-517, (August 2009). https://doi.org/10.14492/hokmj/1258553974
Published: August 2009
Vol.38 • No. 3 • August 2009
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