Before revision: In mathematical analysis, a multivalued function is a set-valued function that has a further continuity property, namely that the choice of an element in the set defines corresponding elements in the sets for close to , and thus defines locally an ordinary function.
After revision: In mathematical analysis, a multivalued function is a set-valued function that has a further continuity property, namely that the choice of an element in the set defines a corresponding element in each set for close to , and thus defines locally an ordinary function.