2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171642In this paper, the homotopy groups of Chow variety $C_{p,d}(P^n)$ of effective $p$-cycles of degree $d$ is proved to be stable in the sense that $p$ or $n$ increases. We also obtain a negative answer to a question by Lawson and Michelsohn on homotopy groups for the space of degree two cycles.11 pagesAlgebraic GeometryAlgebraic Topology14C05; 14C25; 55Q52text