countably P-completely paracompact

Definition

A uniform space (X,U) is called countably P-completely paracompact if (X,U) admits a uniformly continuous λ-mapping onto completely paracompact metrizable uniform space for any open countably additive cover λ.

Reference

D. K. Musaev, Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces, J. Math. Sci., Vol.144, No.3, 2007