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/