uniformly paracompact

Definition

A pseudo uniform space (X,U) is said to be uniformly paracompact if any open cover of this space has a σ-uniformly locally finite (σ-U-locally finite, i.e., decomposable into a countable family of U-locally finite subsystems) open refinement.

Reference

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