Definition:Countably Metacompact Space

Definition
Let $T = \left({S, \tau}\right)$ be a topological space.

$T$ is countably metacompact every countable open cover of $S$ has an open refinement which is point finite.

Also see

 * Definition:Metacompact Space


 * Definition:Countably Paracompact Space
 * Definition:Paracompact Space