On the extension of measures.

Baltasar Rodríguez-Salinas

RACSAM (2001)

  • Volume: 95, Issue: 2, page 191-199
  • ISSN: 1578-7303

Abstract

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We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σx, μx)x ∈ X of spaces of probability to have a measure μ which is an extension of all the measures μx. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.

How to cite

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Rodríguez-Salinas, Baltasar. "On the extension of measures.." RACSAM 95.2 (2001): 191-199. <http://eudml.org/doc/40916>.

@article{Rodríguez2001,
abstract = {We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σx, μx)x ∈ X of spaces of probability to have a measure μ which is an extension of all the measures μx. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.},
author = {Rodríguez-Salinas, Baltasar},
journal = {RACSAM},
keywords = {Espacio de medida; Espacios de probabilidad; Conjuntos medibles; measure extension; atomic measure; measurable cardinal},
language = {eng},
number = {2},
pages = {191-199},
title = {On the extension of measures.},
url = {http://eudml.org/doc/40916},
volume = {95},
year = {2001},
}

TY - JOUR
AU - Rodríguez-Salinas, Baltasar
TI - On the extension of measures.
JO - RACSAM
PY - 2001
VL - 95
IS - 2
SP - 191
EP - 199
AB - We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σx, μx)x ∈ X of spaces of probability to have a measure μ which is an extension of all the measures μx. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.
LA - eng
KW - Espacio de medida; Espacios de probabilidad; Conjuntos medibles; measure extension; atomic measure; measurable cardinal
UR - http://eudml.org/doc/40916
ER -

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