pointwise countably paracompact

Definition

A space X is said to be pointwise countably paracompact if every countalbe open covering of X 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.