2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225934Let P_{k, n}^l be the space consisting of monic complex polynomials f(z) of degree k and such that the number of n-fold roots of f(z) is at most l. In this paper, we determine the integral homology groups of P_{k, n}^l.This is the version published by Geometry & Topology Monographs on 25 February 2008Algebraic Topology55P35, 55R20, 58D15text