# Sigma-finiteness and regularity of generalized Radon measures.

Collectanea Mathematica (1990)

- Volume: 41, Issue: 1, page 1-11
- ISSN: 0010-0757

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topFernández 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 -

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