Measure theory 1.3.4: add measurability to glue from issue #517#524
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teorth merged 1 commit intoJun 15, 2026
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Exercise 1.3.22 requires Lebesgue measurability of E and F for the indicator functions to be complex measurable. Co-authored-by: Cursor <cursoragent@cursor.com>
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Fixes part of #517
Bug
ComplexAbsolutelyIntegrableOn.glueconcluded integrability onEfrom integrability onE ∪ Fwithout assumingEorFis measurable.Root cause
ComplexAbsolutelyIntegrableOn f ErequiresComplexMeasurable (f · indicator E), which fails for non-measurableEeven whenE ∪ Fis well-behaved.Why this fix is correct
Exercise 1.3.22 explicitly assumes
EandFare measurable; the indicatorf · 𝟙_Eis only a limit of complex simple functions whenEis Lebesgue measurable.Test plan
lake buildMade with Cursor