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We prove that if $X|_\Lambda$ has the weak specification property robustly,where $\Lambda$ is an isolated set, then $\Lambda$ is a hyperbolictopologically mixing set and, as a consequence, if $X$ is a vector field thathas the weak specification property robustly on a closed manifold $M$, then theflow $X_t$ is a topologically mixing Anosov flow. Also we prove that thereexists a residual subset $\SR \in \Mundo$ so that if $X \in \SR$ and $X$ hasthe weak specification property, then $X_t$ is an Anosov flow.

The Specification Property for Flows from the Robust and Generic Viewpoint