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Mar 11, 2018 at 0:57 comment added Dmitri Pavlov This defect is easy to correct, though. In localizable measurable spaces (which include all σ-finite measurable spaces) one can easily define the image of a measurable set, which will be an equivalence class of measurable sets up to a set of measure 0.
Mar 10, 2018 at 8:17 vote accept Jokerr
Mar 9, 2018 at 21:02 history edited Iosif Pinelis CC BY-SA 3.0
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Mar 9, 2018 at 20:18 history answered Iosif Pinelis CC BY-SA 3.0