### A remark about homogeneous polynomial maps

DOI: http://dx.doi.org/10.12775/TMNA.2002.013

#### Abstract

We consider homogeneous polynomial maps $F\colon {\mathbb R}^{n}

\rightarrow {\mathbb R}^{n}$ of degree $p$. We classify the pairs $(p,n)$ for which there exists

a surjective and non-proper such map and when the right inverse to $F$

exists but is unbounded.

\rightarrow {\mathbb R}^{n}$ of degree $p$. We classify the pairs $(p,n)$ for which there exists

a surjective and non-proper such map and when the right inverse to $F$

exists but is unbounded.

#### Keywords

Homogeneous polynomial map; index of singular point of vector field

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