
Unformatted text preview: μ n ( A ) . 3. Let ( Ω , F , μ ) be a finite measure space; for convenience, let ∅ be the only null set. Show that the rule A , B ∈ F ⇒ d ( A , B ) = μ ( A 4 B ) defines a metric d on F . Verify that the operations of union and intersection are uniformly continuous. 1...
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- Spring '09
- LARSON
- Topological space, measure, finite measure space, countable subcollection CA
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