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weakly metacompact

Last-modified: 2010-12-26 (日) 12:11:26

Definition Edit

A topological space X is called weakly metacompact if every open cover of X has an open refinement which is a countable union of point-finite families.

Property Edit

  • [Novoa]A pre-Radon measure on a weakly metacompact space is inner regular.

Reference Edit

  • J. Fernandez Novoa, Regularity of pre-Radon measures, Rev. R. Acad. Cienc. Exact. Fis. Nat. (Esp), Vol.92, pp.83-85, 1998