Metacompact space
= Metacompact space
{wiki=Metacompact_space}
In topology, a **metacompact space** is a type of topological space that has certain properties related to open covers. Specifically, a topological space \\( X \\) is called **metacompact** if every open cover of \\( X \\) has a point-finite open refinement. To break this down: 1. **Open Cover**: An open cover of a space \\( X \\) is a collection of open sets whose union contains \\( X \\).