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.
@article{urn:eudml:doc:40916,
title = {On the extension of measures.},
journal = {RACSAM},
volume = {95},
year = {2001},
pages = {191-199},
zbl = {1018.28002},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40916}
}
Rodríguez-Salinas, Baltasar. On the extension of measures.. RACSAM, Tome 95 (2001) pp. 191-199. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40916/