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If both a bijection between topological spaces and its inverse have this property, (10[1])it is called a homeomorphism. 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. A (10[1])function has this property (10[1])if and only if the pre-image of any open set is itself open. (10[1])On an interval [a, b] (“a b”), a function f with this property will take all values between [read slowly] f of a and (10[1])f of b by the intermediate value theorem. A function (10[1])has this property if it equals its limit (10[1])at every point. For 10 points, (10[1])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■

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