Talk:Maharam's theorem

Decomposable
"every complete measure space is decomposable into "non-atomic parts" (copies of the unit interval [0,1] on the reals)" – really? The non-atomic part, in general, can contain a product of uncountably many copies of [0,1], as well as the union of a lot of such products. Boris Tsirelson (talk) 06:07, 19 July 2012 (UTC)