When ℵ₁ many sets are contained in a countably generated σ-field
R. Drabiński ; E. Grzegorek
Colloquium Mathematicae, Tome 116 (2009), p. 41-45 / Harvested from The Polish Digital Mathematics Library
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We discuss the problem when ℵ₁ sets are contained in a σ-generated σ-field on some set X. This is related to a problem raised by K. P. S. Bhaskara Rao and Rae Michael Shortt [Dissertationes Math. 372 (1998)] which we answer. We also briefly discuss generating the family of all subsets from rectangles.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283771 
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R. Drabiński; E. Grzegorek. When ℵ₁ many sets are contained in a countably generated σ-field. Colloquium Mathematicae, Tome 116 (2009) pp. 41-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-5/