2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224804Let RX_{k,n}^l be the space consisting of all (n+1)-tuples (p_0(z),...,p_n(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all p_i(z). In this paper, we prove a stable splitting of RX_{k,n}^l.This is the version published by Geometry & Topology Monographs on 29 January 2007Algebraic Topology55P15, 55P35, 58D15text