Measure theory MOC

Borel set

Given a topological space (𝑋,T), the set 𝐵 of borel sets is the closure of T as a σ-algebra. #m/def/measure This σ-algebra, called the Borel algebra on 𝑋, is the smallest σ-algebra containing all open sets or all closed sets. A measure on the measurable space (𝑋,𝐵) is called a Borel measure.


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