Geodesic
When $\aleph _1$ many sets are contained in a countably generated $\sigma $-field
R. Drabiński 1   ; E. Grzegorek 1
1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 41-45 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We discuss the problem when $\aleph _1$ sets are contained in a $\sigma $-generated $\sigma $-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.
DOI : 10.4064/cm115-1-5
Keywords: discuss problem aleph sets contained sigma generated sigma field set related problem raised bhaskara rao rae michael shortt dissertationes math which answer briefly discuss generating family subsets rectangles

R. Drabiński  1   ; E. Grzegorek  1

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
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R. Drabiński; E. Grzegorek. When $\aleph _1$ many sets are contained in a
 countably generated $\sigma $-field. Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 41-45. doi: 10.4064/cm115-1-5

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