Definition:Nowhere Dense/Definition 2

From ProofWiki
Jump to navigation Jump to search

Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

Let $H \subseteq S$.


$H$ is nowhere dense in $T$ if and only if:

$H^-$ contains no open set of $T$ which is non-empty

where $H^-$ denotes the closure of $H$.


Also see


Sources