lightly paracompact

Definition

A topological space X is said to be lightly paracompact if for every countable open cover U there exists a subset family V which refines U and whose closure covers X.

Remark

• It is also called almost countably paracompact.

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.