Polynomials Maps and Even Dimensional Spheres

Javier Turiel

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Polynomials Maps and Even Dimensional Spheres

Javier Turiel

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Abstract

We construct, for every even dimensional sphere $S^n$, $n >1$, and every odd integer $k$, a homogeneous polynomial map $f: S^{n}\to S^{n}$ of Brouwer degree $k$ and algebraic degree $2|k|-1$.

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Javier Turiel. 2004-10-26. Polynomials Maps and Even Dimensional Spheres. https://arxiv.org/abs/math/0410552

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