H-closed space
= H-closed space
{wiki=H-closed_space}
An **H-closed space** is a concept from topology, typically used in the study of general topological spaces. A topological space \\( X \\) is said to be **H-closed** if every open cover of \\( X \\) has a finite subcover, but only if every totally bounded subset of \\( X \\) is relatively compact. In simpler terms, H-closed spaces are spaces where every continuous map from a compact space into \\( X \\) is closed.