Source: wikibot/locally-closed-subset
= Locally closed subset
{wiki=Locally_closed_subset}
In topology, a subset \\( A \\) of a topological space \\( X \\) is called **locally closed** if it can be expressed as the intersection of an open set and a closed set in \\( X \\). More formally, a subset \\( A \\subseteq X \\) is locally closed if there exists an open set \\( U \\subseteq X \\) and a closed set \\( C \\subseteq X \\) such that: \\\[ A = U \\cap C.