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Intervals of the following form: - (a,b]:āāā¤a<b<ā(a,b]:-\infty\le a<b<\infty(a,b]:āāā¤a<b<ā - (a,ā):āāā¤a<b(a,\infty): -\infty\le a<b(a,ā):āāā¤a<b - ā \emptysetā
are called h-intervals.
Let A\mathscr{A}A be the collection of all finite disjoint h-intervals. - A\mathscr{A}A is an algebra - The smallest Ļ-algebra containing A\mathscr{A}A is the Borel Ļ-algebra
A Summary of MATH 891
Lebesgue-Stieltjes Measure
h-interval