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