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completely paracompact

Last-modified: 2010-12-01 (水) 01:33:30

Definition Edit

A Tychonoff space X is said to be completely paracompact if for every open cover U of X, there exists a sequence V_i of star-finite open covers whose union containes a refinement of U.

Reference Edit

K.P.Hart, J. Nagata and J.E. Vaughan, Encyclopedia of general topology, Elsevier Science.