2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128716Let A be a geometric arrangement such that codim(x) > 1 for every x in A. We prove that, if the complement space M(A) is rationally hyperbolic, then there exists an injective from a free Lie algebra L(u,v) to the homotopy Lie algebra of M(A).9 pagesAlgebraic Topology55P62Homotopy Lie algebra of the complements of subspace arrangements with geometric latticestext