2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67002In a previous paper, math.AT/0304079, Auslander-Reiten triangles and quivers were introduced into algebraic topology. This paper shows that over a Poincare duality space, each component of the Auslander-Reiten quiver is isomorphic to ZA_{\infty}.14 pagesAlgebraic TopologyRings and AlgebrasRepresentation Theory55P62; 16E45; 16G70text