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1998/1999 A Tale of Two (s)-ities
Kenneth Schilling
Real Anal. Exchange 24(1): 477-482 (1998/1999).


In the product $X\times Y$ of two uncountable complete separable metric spaces, not every $(s)$-set belongs to the $\sigma$-algebra generated by the products of $(s)$-sets in $X$ with $(s)$-sets in~$Y$. The construction makes use of the fact that the Boolean algebra $(s)/(s_0)$ is complete.


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Kenneth Schilling. "A Tale of Two (s)-ities." Real Anal. Exchange 24 (1) 477 - 482, 1998/1999.


Published: 1998/1999
First available in Project Euclid: 23 March 2011

zbMATH: 0940.28001
MathSciNet: MR1691767

Primary: 28A05

Keywords: separable

Rights: Copyright © 1998 Michigan State University Press

Vol.24 • No. 1 • 1998/1999
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