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uniformly strongly paracompact

Last-modified: 2015-11-17 (火) 18:43:36

Definition Edit

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

Reference Edit

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