Sigma-finiteness and regularity of generalized Radon measures

Autores: Julio Fernández Novoa
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 1, 1990, págs. 1-11
Idioma: inglés
Títulos paralelos:
- Sigma-finitud y regularidad de medidas de Radon generalizadas
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Resumen
- We extend some known sigma-finiteness and regularity results for (locally finite) Radon measures to locally sigma-finite or locally moderated Radon measures of type (H), and we obtain other new ones. The main result states that the regularity and the sigma-finiteness are equivalent for alllocally moderated, diffused, Radon measures of type (H) in a T1 topological space which is either weakly metacompact or paralindelöf (resp. metalindelöf) and has a concassage of Lindelöf (resp. separable) subsets.