Definition
Let τ denote an infinite cardinal number.
A (pseudo) uniform space (X,U) is said to be τ-P-paracompact if, for any open cover λ of (X,U), the cover
is a weakly uniform cover.
Reference
D. K. Musaev, Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces, J. Math. Sci., Vol.144, No.3, 2007