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I just have quick question about the Borel sigma algebra $B$. $B$ is, of course, a sigma algebra, and we also know that $B$ contains all open set, and that it is as small as possibly.

I am wondering if the space $B \times B$ has these same properties? I am not sure if this is the case, but I am starting to think not. Sorry if my english is not good.

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    If you write \sigma- _inside_ TeX, then you get $\sigma-$algebras, with the hyphen looking like a minus sign. If you put only \sigma inside TeX and the hyphen outside of TeX, then you get $\sigma$-algebras, with the hyphen looking like a hyphen. (I changed it.)2012-11-27

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