Sigma-finiteness and regularity of generalized Radon measures.

Fernández Novoa, J.. "Sigma-finiteness and regularity of generalized Radon measures.." Collectanea Mathematica 41.1 (1990): 1-11. <http://eudml.org/doc/42201>.

@article{FernándezNovoa1990,
abstract = {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.},
author = {Fernández Novoa, J.},
journal = {Collectanea Mathematica},
keywords = {Teoría de la medida; Medida de Radon; Medidas de Borel; regular Borel measure; weakly -refinable space; weakly metacompact space; paralindelöf space; metalindelöf space; sigma- finiteness; regularity; Radon measures of type (; concassage},
language = {eng},
number = {1},
pages = {1-11},
title = {Sigma-finiteness and regularity of generalized Radon measures.},
url = {http://eudml.org/doc/42201},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Fernández Novoa, J.
TI - Sigma-finiteness and regularity of generalized Radon measures.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 1
SP - 1
EP - 11
AB - 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.
LA - eng
KW - Teoría de la medida; Medida de Radon; Medidas de Borel; regular Borel measure; weakly -refinable space; weakly metacompact space; paralindelöf space; metalindelöf space; sigma- finiteness; regularity; Radon measures of type (; concassage
UR - http://eudml.org/doc/42201
ER -