- #1
monkey372
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Homework Statement
Give an example of a set of real numbers whose interior is empty but whose closure is all of the real numbers if it exists. Otherwise, explain why such example cannot be true.
2. The attempt at a solution
For a set S ⊆ X, the closure of S is the intersection of all closed sets in X that contain A. I am having a lot of trouble thinking of an example and am beginning to think one does not exists but intuitively this does not make sense.
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