Measurable functions
measurable if f 1(B) is a Lebesgue measurable subset of Rn for every Borel subset Bof R, and it is Borel measurable if f 1(B) is a Borel measurable subset of Rn for every Borel subset Bof R This de nition ensures that continuous functions f: Rn!R are Borel measur-able and functions that are equal a.e. to Borel measurable functions are Lebesgue ...
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