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#Measurable

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What does “for every c” mean in the sublevel set criterion for Borel measurability?

I’m studying measure theory, and my lecture notes state the following result: Corollary 3.5. Let D be a Borel subset of ℝᵈ, and let f map D into the extended real line ℝ̄ = ℝ ∪ {−∞, +∞}.…

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