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uniformly paracompact

Last-modified: 2010-10-20 (水) 10:38:21

Definition Edit

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 Edit

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