Definition
A uniform space (X,U) is said to be B-paracompact if any finitely additive open cover of (X,U) is a weakly uniform cover.
Remark
- Note that the class of ω-P-paracompact uniform spaces coincides with that of B-paracompact spaces.
Reference
D. K. Musaev, Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces, J. Math. Sci., Vol.144, No.3, 2007