*Definition [#ha01e707]
A topological space X is called weakly paracompact if every open cover has a [[point-finite]] open refinement.

*Remark [#lf5d4ea5]
-It is also called [[metacompact]].
-It is also called [[pointwise paracompact]].

*Reference [#ofdebc35]
Lynn Arthur Steen and J. Arthur Seebach, Jr. Counterexamples in Topology, Dover.