Closed point
= Closed point
{title2=$\{x\}\text{ is closed}$}
A point of a <topological space> is closed when its singleton is a <closed set>. In a <T1 space> every point is closed. The closed points of an <affine scheme> $\operatorname{Spec}A$ are its <maximal ideals>; the closure of the point corresponding to $\mathfrak p$ is $V(\mathfrak p)$.