Measure, Integration & Real Analysis · Problem 2D.22

Integration — Sheldon Axler

Mathematics — Measure Theory · cantor-function-rationality

Problem

(a) Suppose xx is a rational number in [0,1][0,1]. Explain why Λ(x)\Lambda(x) is rational. (b) Suppose x∈Cx \in C is such that Λ(x)\Lambda(x) is rational. Explain why xx is rational.

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