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almost paracompact

Last-modified: 2010-11-29 (月) 21:26:21

Definition Edit

A topological space X is said to be almost paracompact if for every open cover U, there exists a family of open subsets such that V is a partial refinement? of U and that the closure of V covers X.
Here "the closure of V" means the family of the closures of the member in V.

Reference Edit

M. K. Singal and Shashi Prabha Arya, On M-Paracompact Spaces, Math. Ann. 181, 119--133 (1969).