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 While the definition of a directed set is for an "upward-directed" set (every pair of elements has an upper bound), it is also possible to define a downward-directed set in which every pair of elements has a common lower bound. A subset of a poset is downward-directed if and only if its upper closure is a filter. Directed subsets are used in domain theory, which studies directed complete partial orders. These are posets in which every upward-directed set is required to have a least upper bound. In this context, directed subsets again provide a generalization of convergent sequences. Directed set