Metadata aliases: [Nowhere dense subset of a topological space] shorthands: {} created: 2022-01-30 21:08:30 modified: 2022-01-30 21:14:43 Let be a topological space. A subset of is called nowhere dense in if and only if the complement1 of the closure of is dense:
aliases: [Nowhere dense subset of a topological space] shorthands: {} created: 2022-01-30 21:08:30 modified: 2022-01-30 21:14:43
Thus, is nowhere dense if and only if , where is the interior of . (The closure of does not have an interior.)
The complement is ↩