uniformly superparacompact

Definition

A uniform space (X,U) is called uniformly superparacompact if any open cover of (X,U) has a σ-uniformly finite-component (i.e., decomposable into a countable family of U-finite-component subsystems) open refinement.

Reference

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