*Definition [#d73fe7cc]
m denotes a cardinality.
A space X is said to be pointwise m-paracompact if every open covering of X of cardinality no more than m has a [[point-finite]] open refinement.

*Remark [#ce96c9a6]
-See also [[pointwise paracompact]], [[weakly paracompact]], [[metacompact]].

*Reference [#m14f8fb5]
M. K. Singal, ''Some Generalizations of Paracompactness'', Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. 245-263.