*Definition [#m3aafb74]
A uniform space (X,U) is called R-completely paracompact if any open cover of (X,U) has a U-σ-star-finite (i.e. decomposable into a countable family of U-[[star-finite]] subsystems) open weak refinement.
*Reference [#db87c447]
D. K. Musaev, ''Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces'', J. Math. Sci., Vol.144, No.3, 2007