τ-strongly paracompact

Definition

τ denotes an infinite cardinal number.
A topological space X is said to be τ-strongly paracompact if any open cover of X has a τ-star
open refinement, where a cover λ of X is called τ-star if, for any A in λ, St(A,λ) has a cardinality less than τ.

Reference

D. K. Musaev, Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces, J. Math. Sci., Vol.144, No.3, 2007