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...
View Full Document
- Spring '09
- Topological space, measure, finite measure space, countable subcollection CA