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which is dense. Equivalently, a subset of a topological space is nowhere dense if and only if the interior of its closure is empty. The interior of the complement of a nowhere dense set is always dense. The complement of a closed nowhere dense set is a dense open set. Given a topological space a subset of that can be expressed as the union of countably many nowhere dense subsets of is called meagre. The rational numbers, while dense in the real numbers, are meagre

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