Homotopical dynamics: suspension and duality

Flow-type suspension and homotopy suspension agree for attractor-repellor h omotopy data. The connection maps associated in Conley index theory to an a ttractor-repellor decomposition with respect to the direct flow and its inv erse are Spanier-Whitehead duals in the stably parallelizable context and a re duals module a certain Them construction in general.