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Measurable function
Layer 0 — Mathematics
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measure-theory
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A map f : (X, ℳ) → (Y, 𝒩) with f^{-1}(A) ∈ ℳ for every A ∈ 𝒩. Foundational for Lebesgue integration.
Related concepts
Lebesgue measure
Borel set
Monotone convergence theorem
Fatou's lemma
Egorov's theorem
Lusin's theorem
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