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Jan 12, 2010 at 19:20 vote accept S. Donovan
Jan 12, 2010 at 18:20 history edited Mark Meckes CC BY-SA 2.5
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Jan 12, 2010 at 18:14 comment added Anweshi If you keep working with the Borel sigma algebra, you might encounter problematic examples. For instance, a Hamel basis of R over Q. You can so arrange it that it is contained within a measure zero perfect set, for instance the Cantor set. This has measure zero in Lebesgue measure, but is nonmeasurable in the Borel setup.
Jan 12, 2010 at 16:13 history answered Mark Meckes CC BY-SA 2.5