# Talk:Standard Borel space

## Uniqueness

I've added a sentence to the lead saying *Up to isomorphism, there is only one nontrivial standard Borel space*. I don't expect it to *stay* that way, but I think it's OK for an article at this level of completeness.

What needs to be clarified is what I mean by nontrivial (answer: the countable ones are all trivial, because they correspond to the discrete topology and make all sets Borel; that may be too chatty for the lead). And most importantly, it should be sourced.

I would be very grateful to anyone who can find a source for the phrase "**the** standard Borel space", meaning the unique uncountable one. I have definitely encountered this usage, but I'm not sure where to find a print source. --Trovatore (talk) 21:12, 11 July 2017 (UTC)

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