Minority Report (film) Goldman in 1992. He created the initial script for the film with Ron Shusett and Robert Goethals (uncredited). It was supposed to be a sequel to the 1990 Dick adaptation "Total Recall", which starred Arnold Schwarzenegger. Novelist Jon Cohen was hired in 1997 to adapt the story for a potential film version that would have been directed by Dutch filmmaker Jan de Bont. Meanwhile, Cruise and Spielberg, who met and became friends on the set of Cruise's film "Risky Business" in 1983, had been looking to collaborate for ten years. Spielberg was set to direct Cruise in "Rain Man", but
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