Measure, Integration & Real Analysis · Problem 2B.10

Measures — Sheldon Axler

Mathematics — Measure Theory · sigma-algebra-restriction-to-subset

Problem

Suppose (X,S)(X, \mathcal{S}) is a measurable space and A⊆XA \subseteq X. Show that {E∩A:E∈S}\{E \cap A : E \in \mathcal{S}\} is a σ\sigma-algebra on AA.

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