Tossup

If both a bijection between topological spaces and its inverse have this property, it is called (10[1])a homeomorphism. (10[2])If a function scales the distance between two points by at most a constant, it has a form of this property named for Rudolf Lipschitz. (-5[1])A function has this property if and only if the pre-image of any open set is itself open. On an interval [a, b] (“a b”), a function f with this property will take (10[1])all values between [read slowly] f (10[1])of a and f (10[1])of b by the intermediate value theorem. (10[3])A function has this property if it equals its limit at every point. (10[1])For 10 points, name this property of a function that can be defined informally as being able to draw its graph without taking the pen off the paper. ■END■ (10[1])

Back to tossups

Buzzes

Summary