pointwise m-paracompact

Definition

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

• See also pointwise paracompact, weakly paracompact, metacompact.

Reference

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.