B-paracompact

Last-modified: 2010-10-07 (木) 18:02:22

Definition

A uniform space (X,U) is said to be B-paracompact if any finitely additive open cover of (X,U) is a weakly uniform cover.

Remark

  • Note that the class of ω-P-paracompact uniform spaces coincides with that of B-paracompact spaces.

Reference

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