Ed Harris In addition to directing "Pollock", Harris also directed the western "Appaloosa" (2008). In television, Harris is notable for his roles as Miles Roby in the miniseries "Empire Falls" (2005) and as United States Senator John McCain in the television movie "Game Change" (2012), the latter of which earned him the Golden Globe Award for Best Supporting Actor – Series, Miniseries or Television Film. He currently stars as the Man in Black in the HBO science fiction-western series "Westworld" (2016–present), for which he earned a nomination for the Primetime Emmy Award for Outstanding Lead Actor in a Drama Series. Harris was
Directed set this setting, a subset "A" of a partially ordered set ("P",≤) is called a directed subset if it is a directed set according to the same partial order: in other words, it is not the empty set, and every pair of elements has an upper bound. Here the order relation on the elements of "A" is inherited from "P"; for this reason, reflexivity and transitivity need not be required explicitly. A directed subset of a poset is not required to be downward closed; a subset of a poset is directed if and only if its downward closure is an ideal.