The Conley index on compact ANR's is of finite type (Q756760)

The cohomological Conley index of a flow was defined by \textit{C. Conley} and then extended to semiflows by \textit{K. Rybakowski}. In the paper under review it is shown that the Conley index of an isolated invariant set of a homeomorphism in a compact metric ANR is of finite type; and that the Conley index of isolated invariant set of a flow coincides with the index of isolated invariant sets of its discrete dynamical subsystems. This implies that the Conley index of a flow on a compact metric ANR is of finite type.