Measure, Integration & Real Analysis · Problem 2B.7

Measures — Sheldon Axler

Mathematics — Measure Theory · borel-measurable-half-open-interval

Problem

Verify that the half-open interval [a,b)[a, b) (where a,b∈Ra, b \in \mathbf{R}) is a Borel set by showing that [a,b)=⋂k=1∞(a−1k,b)[a, b) = \bigcap_{k=1}^\infty (a - \frac{1}{k}, b).

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