In this paper we introduce some covering properties related with paracompactness, which allow us to characterize paracompact, compact, pseudocompact, lightly compact, collectionwise normal with respect to paracompact and closed sets, and countably compact spaces.
"Paracompactness and closed subsets." Tsukuba J. Math. 13 (2) 483 - 493, December 1989. https://doi.org/10.21099/tkbjm/1496161170