Finding Nemo (video game) caves filled with dangerous fish. After escaping the caves, he spots some fish and tries to ask for help but is ignored. He meets Dory, a blue tang who suffers from "short-term memory loss." She helps lead Marlin after the boat but after following her three times, she completely forgets what they were doing. Believing Dory is no help, he leaves her but comes across a shark named Bruce, who is fish-friendly. Bruce invites them to a party and while Marlin is sceptical, Dory accepts. While traveling through octopus-infested caves and minefields, they come across some mines that Dory decides
Forgetful functor set, privileged subsets of the underlying set, etc.) which may satisfy some axioms. For these objects, a commonly considered forgetful functor is as follows. Let formula_1 be any category based on sets, e.g. groups—sets of elements—or topological spaces—sets of 'points'. As usual, write formula_2 for the objects of formula_1 and write formula_4 for the morphisms of the same. Consider the rule: The functor formula_11 is then the forgetful functor from formula_1 to formula_13, the category of sets. Forgetful functors are almost always faithful. Concrete categories have forgetful functors to the category of sets—indeed they may be "defined" as those categories