Measure theory 1.3.5: complete Lebesgue measurability fixes#549
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Measure theory 1.3.5: complete Lebesgue measurability fixes#549Chessing234 wants to merge 1 commit into
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Egorov/Lusin exceptional sets should be Lebesgue measurable, not merely Borel. Also require S measurable for uniform convergence on S^c union E, and fix LocallyComplexAbsolutelyIntegrable to quantify over Lebesgue sets. Co-authored-by: Cursor <cursoragent@cursor.com>
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Egorov/Lusin talk about Lebesgue-null exceptional sets, so the hypotheses should be Lebesgue measurable, not Borel. Also need S measurable before taking Lebesgue_measure S < ⊤ in the uniform-convergence remark. |
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Summary
MeasurableSetwithLebesgueMeasurablefor exceptional sets in Egorov's theorem, Lusin's theorem, and the Littlewood principle (Section 1.3.5)LebesgueMeasurable StouniformlyConverges_outside_smallso the finite-measure set hypothesis is well-typedLocallyComplexAbsolutelyIntegrableto quantify over Lebesgue measurable bounded setsCombines the fixes from #547 and #548 into one PR for easier review.
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