# Definition:Metacompact Space

## Definition

Let $T = \struct {S, \tau}$ be a topological space.

$T$ is metacompact if and only if every open cover of $S$ has an open refinement which is point finite.

## Also known as

A metacompact space is also referred to as a pointwise paracompact space.

## Also see

• Results about metacompact spaces can be found here.