Geodesic
Łojasiewicz Exponent of Overdetermined Mappings
Stanisław Spodzieja 1   ; Anna Szlachcińska 1
1 Faculty of Mathematics and Computer Science University of Łódź Banacha 22 90-238 Łódź, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 27-34 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A mapping $F:\mathbb{R}^n\to\mathbb{R}^m$ is called overdetermined if $m>n$. We prove that the calculations of both the local and global Łojasiewicz exponent of a real overdetermined polynomial mapping $F:\mathbb{R}^n\to \mathbb{R}^m$ can be reduced to the case $m=n$.
DOI : 10.4064/ba61-1-4
Keywords: mapping mathbb mathbb called overdetermined prove calculations local global ojasiewicz exponent real overdetermined polynomial mapping mathbb mathbb reduced

Stanisław Spodzieja  1   ; Anna Szlachcińska  1

1 Faculty of Mathematics and Computer Science University of Łódź Banacha 22 90-238 Łódź, Poland 
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Stanisław Spodzieja; Anna Szlachcińska. Łojasiewicz Exponent of Overdetermined Mappings. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 27-34. doi: 10.4064/ba61-1-4

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