Ed Harris Wilkinson in "" (2007), alongside Nicolas Cage. In 2008, he co wrote, directed and starred along with Viggo Mortensen in the western Appaloosa. In 2010, he and wife Amy Madigan appeared together in Ash Adams' independent crime drama "Once Fallen". Later that same year, Harris starred in the survival drama "The Way Back" as Mr. Smith. His performance received much critical praise, and he was suggested by critics to receive a fifth Oscar nomination. In 2012, he co-starred alongside Sam Worthington in the thriller film "Man on a Ledge" for Summit Entertainment. He then won the Golden Globe Award for
Directed set this article) assume that a directed set is directed upward, unless otherwise stated. Beware that other authors call a set directed if and only if it is directed both upward and downward. Directed sets are a generalization of nonempty totally ordered sets. That is, all totally ordered sets are directed sets (contrast "partially" ordered sets, which need not be directed). Join semilattices (which are partially ordered sets) are directed sets as well, but not conversely. Likewise, lattices are directed sets both upward and downward. In topology, directed sets are used to define nets, which generalize sequences and unite the various