2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163071We prove that for every finite dimensional compact metric space $X$ there is an open continuous linear surjection from $C_p[0,1]$ onto $C_p(X)$. The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert's 13th problem.General TopologyFunctional Analysis54C35: 54F45A property of C_p[0,1]text