*Definition [#i7d4e762]
A topological space X is called metacompact if every open cover has a [[point-finite]] open refinement.

*Remark [#b373f0bf]
-It is also called [[pointwise paracompact]].
-It is also called [[weakly paracompact]].

*Reference [#ib1440e2]
Lynn Arthur Steen and J. Arthur Seebach, Jr. ''Counterexamples in Topology'', Dover.