On independent sets in purely atomic probability spaces with geometric distribution
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1
E. J. Ionascu; A. A. Stancu. On independent sets in purely atomic probability spaces with geometric distribution. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a3/
@article{AMUC_2010_79_1_a3,
     author = {E. J. Ionascu and A. A. Stancu},
     title = {On independent sets in purely atomic probability spaces with geometric distribution},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a3/}
}
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We are interested in constructing concrete independent events in purely atomic probability spaces with geometric distribution. Among other facts we prove that there are many uncountable sequences of independent events.