Definition
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
- [Novoa]A pre-Radon measure on a weakly metacompact space is inner regular.
Reference
- J. Fernandez Novoa, Regularity of pre-Radon measures, Rev. R. Acad. Cienc. Exact. Fis. Nat. (Esp), Vol.92, pp.83-85, 1998