Appaloosa (film) Appaloosa (film) Appaloosa is a 2008 American Western film based on the 2005 novel "Appaloosa" by crime writer Robert B. Parker. Directed by Ed Harris and co-written by Harris and Robert Knott, "Appaloosa" stars Harris alongside Viggo Mortensen, Renée Zellweger and Jeremy Irons. The film premiered at 2008 Toronto International Film Festival and was released in selected cities on September 19, 2008, then expanded into wide-release on October 3, 2008. The film shares some narrative similarities with the 1959 Western "Warlock", directed by Edward Dmytryk and starring Henry Fonda, Anthony Quinn and Richard Widmark. There is also a 1966 Western
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.