Let C be a closed subset of R such that Ccap Ineemptyset for any open interval I of R. Then:

Q54Section II (Mathematics)54 of 180

Analysis — a closed dense subset of $\mathbb{R}$

Let C be a closed subset of $\mathbb{R}$ such that $C\cap I\ne\emptyset$ for any open interval I of $\mathbb{R}$ . Then:

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