Definition 5.21.1. Let $X$ be a topological space.

Given a subset $T \subset X$ the

*interior*of $T$ is the largest open subset of $X$ contained in $T$.A subset $T \subset X$ is called

*nowhere dense*if the closure of $T$ has empty interior.

Definition 5.21.1. Let $X$ be a topological space.

Given a subset $T \subset X$ the

*interior*of $T$ is the largest open subset of $X$ contained in $T$.A subset $T \subset X$ is called

*nowhere dense*if the closure of $T$ has empty interior.

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