*Definition [#xde1c616]
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 &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b$%5clambda_%5ctau:=%5c%7b%5ccup%5cbeta:%5cbeta%5csubset%5clambda%2c%7c%5cbeta%7c%3c%5ctau%5c%7d$%7d%25.png); is a [[weakly uniform cover]].
*Reference [#a1adb49d]
D. K. Musaev, ''Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces'', J. Math. Sci., Vol.144, No.3, 2007