Source: wikibot/separable-space
= Separable space
{wiki=Separable_space}
In topology, a **separable space** is a type of topological space that contains a countable dense subset. More formally, a topological space \\( X \\) is said to be separable if there exists a countable subset \\( D \\subseteq X \\) such that the closure of \\( D \\) is equal to \\( X \\). This means that every point in \\( X \\) can be approximated arbitrarily closely by points from \\( D \\).