| 1. | The complexes of a measurable space are called "'measurable sets " '.
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| 2. | It turns out that these requirements are incompatible conditions; see non-measurable set.
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| 3. | Now let, and suppose be an arbitrary measurable set, and define:
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| 4. | Is this like that for all non-measurable sets by the caratheodory definition of measurability?
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| 5. | Elements of the " ? "-algebra are called measurable sets.
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| 6. | Measurable sets, given in a measurable space by definition, lead to measurable functions and maps.
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| 7. | Formally, a simple function is a finite linear combination of indicator functions of measurable sets.
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| 8. | :Measurable sets can be approximated with unions of intervals.
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| 9. | Members of this sigma algebra are called measurable sets.
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| 10. | Here, the collection \ mathcal { B } of coalitions is an arbitrary Lebesgue measurable sets.
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