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F-paracompact

Last-modified: 2010-10-08 (金) 23:22:03

Definition Edit

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

Remark Edit

Reference Edit

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