Measure theory 1.3.5: Lebesgue measurability for local integrability#548
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Measure theory 1.3.5: Lebesgue measurability for local integrability#548Chessing234 wants to merge 1 commit into
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LocallyComplexAbsolutelyIntegrable and uniformlyConverges_outside_small should use LebesgueMeasurable sets, consistent with Section 1.3.4. Co-authored-by: Cursor <cursoragent@cursor.com>
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Local absolute integrability is defined via indicators on sets — those need to be Lebesgue measurable, same as everywhere else in this chapter. |
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Summary
LocallyComplexAbsolutelyIntegrablenow quantifies overLebesgueMeasurablebounded sets, not BorelMeasurableSet.uniformlyConverges_outside_smallrequiresLebesgueMeasurable Swhen usingLebesgue_measure S.Test plan
lake build Analysis/MeasureTheory/Section_1_3_5.leanFollow-up to #547 / #546.
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