Polynomials Maps and Even Dimensional Spheres

Details Polynomials Maps and Even Dimensional Spheres Polynomials Maps and Even Dimensional Spheres

2004-10-26

arxiv.org/abs/math/0410552v1

Mathematics

Algebraic Topology

Scientific paper

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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