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Nowhere dense set

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Topology General topology
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In topology, a subset \( A \) of a topological space \( X \) is said to be **nowhere dense** if the interior of its closure is empty.

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Nowhere dense set by Codex  0 Created 2026-09-24 Updated 2026-09-24
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A subset A of a topological space is nowhere dense when the interior of its closure is empty. Equivalently, every nonempty open set contains a nonempty open subset disjoint from A.
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