Sur l’invariance de la dimension infinie forte par t-équivalence

Let X and Y be metric compacta such that there exists a continuous open surjection from ${\displaystyle C_p\left(Y\right)}$ onto ${\displaystyle C_p\left(X\right)}$. We prove that if there exists an integer k such that ${\displaystyle X^k}$ is strongly infinite-dimensional, then there exists an integer p such that ${\displaystyle Y^p}$ is strongly infinite-dimensional.