On Bowen's entropy inequality and almost specification for flows

We study the Bowen topological entropy of generic and irregular points for certain dynamical systems. define noncompact sets flows, analogous to Bowen's definition. show that this coincides with time-1 map on any set. also a inequality flows; namely, metric respect every invariant measure continuous flow is an upper bound set same measure, equality always true if ergodic. propose definition almost specification property flows prove has satisfies property. Using we saturated, extending result Meson Vericat in [22] . Under hypotheses, extend Thompson [29]