Measure, Integration & Real Analysis · Problem 2B.9

Measures — Sheldon Axler

Mathematics — Measure Theory · borel-subsets-extended-reals-sigma-algebra

Problem

Verify that with Definition 2.50, the set of Borel subsets of [−∞,∞][-\infty, \infty] is a σ\sigma-algebra on [−∞,∞][-\infty, \infty].

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