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nLab

nowhere dense set

Nowhere dense sets
# Nowhere dense sets

## Definition

A subset $A\subseteq X$ of a topological space $X$ is called **nowhere dense** (alias **rare**) if the interior of its closure is empty:

$Int(Cl(A)) = \emptyset .$

## Related pages

Last revised on June 5, 2019 at 15:59:23.
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