2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225973We determine the Lusternik-Schnirelmann category of the irreducible, symmetric Riemann spaces SU(n)/SO(n) and SU(2n)/Sp(n) of type AI and AII respectively.This is the version published by Geometry & Topology Monographs on 25 February 2008General TopologyAlgebraic Topology55M30On the Lusternik-Schnirelmann category of symmetric spaces of classical typetext