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h-interval

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Definition
MeasureTheory

Intervals of the following form: - (a,b]:āˆ’āˆžā‰¤a<b<āˆž(a,b]:-\infty\le a<b<\infty - (a,āˆž):āˆ’āˆžā‰¤a<b(a,\infty): -\infty\le a<b - āˆ…\emptyset

are called h-intervals.

Let A\mathscr{A} be the collection of all finite disjoint h-intervals. - A\mathscr{A} is an algebra - The smallest σ-algebra containing A\mathscr{A} is the Borel σ-algebra

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