Moderation of sigma-finite Borel measures

Autores: J. Novoa Fernández
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 289-296
Idioma: inglés
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Resumen
- We establish that a $\sigma$-finite Borel measure $\mu$ in a Hausdorff topological space $X$ such that each open subset of $X$ is $\mu$-Radon, is moderated when $X$ is weakly metacompact or paralindelöf and also when $X$ is metalindelöf and has a $\mu$-concassage of separable subsets. Moreover, we give a new proof of a theorem of Pfeffer and Thomson [5] about gage measurability and we deduce other new results.
Referencias bibliográficas
- R. Engelking, General Topology, PWN Warsaw, 1977.
- R. J. Gardner and W. F. Pfeffer, Some undecidability results concerning Radon measures, Trans. Amer. Math. Soc. 259, 1 (1980), 67–74.
- R. J. Gardner and W. F. Pfeffer, Borel measures, in Handbook of Set-theoretic Topology, Ed. K. Kunen and J. E. Vaughan, Nort-Holland, New...
- W. F. Pfeffer, Integrals and Measures, Marcel Dekker, New York, 1977.
- W. F. Pfeffer and B. S. Thomson, Measures defined by gages, Canad. J. Math. 44, 6 (1992), 1303–1316.