An uncountable partition contained in the atomless σ-field
Radosław Drabiński
Colloquium Mathematicae, Tome 122 (2011), p. 219-223 / Harvested from The Polish Digital Mathematics Library
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This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284163 
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     author = {Rados\l aw Drabi\'nski},
     title = {An uncountable partition contained in the atomless $\sigma$-field},
     journal = {Colloquium Mathematicae},
     volume = {122},
     year = {2011},
     pages = {219-223},
     zbl = {1231.28003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-6}
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Radosław Drabiński. An uncountable partition contained in the atomless σ-field. Colloquium Mathematicae, Tome 122 (2011) pp. 219-223. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-6/