Definition:Metacompact Space

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

$T$ is metacompact 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

 * Definition:Countably Metacompact Space


 * Definition:Paracompact Space
 * Definition:Countably Paracompact Space