The pseudo orbit tracing property of first return maps (Q809402)

Every real flow without fixed points on a compact metric space induces a first return map on the union of sets in a certain family of local cross- sections, which was first introduced by \textit{H. Whitney} and after that improved by \textit{R. Bowen} and \textit{P. Walters}. The author investigates relationships between a real flow and its first return map with respect to the pseudo-orbit tracing property.