2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78780Flow type suspension and homotopy suspension agree for attractor-repellor homotopy data.The connection maps associated in Conley index theory to an attractor-repellor decomposition with respect to the direct flow and its inverse are Spanier-Whitehead duals in the stably parallelizable context and are duals modulo a certain Thom construction in general.to appear in Ergodic Theory and Dynamical SystemsDynamical SystemsAlgebraic TopologySymplectic Geometry58F25, 55P25 (Primary) 57R70, 58F09 (Secondary)text