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.
@article{urn:eudml:doc:42201,
title = {Sigma-finiteness and regularity of generalized Radon measures.},
journal = {Collectanea Mathematica},
volume = {41},
year = {1990},
pages = {1-11},
zbl = {0731.28009},
mrnumber = {MR1134440},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42201}
}
Fernández Novoa, J. Sigma-finiteness and regularity of generalized Radon measures.. Collectanea Mathematica, Tome 41 (1990) pp. 1-11. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42201/