2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73010We 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 $2|k|-1$.Algebraic TopologyPolynomials Maps and Even Dimensional Spherestext