Definition
A subset K of a topological space X is called nearly strongly paracompact if for every cover C of X, there exists an open family B such that:
- B is star-finite;
- B refines C;
- K is contained in .
Reference
T. Fukutake, On operation-paracompact spaces and products, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 24, 2 (1994), 23-29.