*Definition [#j3aa041c]
A uniform space (X,U) is said to be F-paracompact if any open cover of this space has a σ-U-discrete (i.e., decomposable into a countable family of U-discrete subsystems) open refinement.
*Remark [#w34b5109]
-Note that all metrizable and all [[R-paracompact]] spaces are [[B-paracompact]], all [[B-paracompact]] spaces are F-paracompact.
*Reference [#u01ef689]
D. K. Musaev, ''Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces'', J. Math. Sci., Vol.144, No.3, 2007