Integrals are typically associated with measure spaces. For example, the Lebesgue measure for the Lebesgue integral and the Jordan measure for the Rieman integral. But it seems like it should be possible to define an analogue of integration on something weaker than a measure space. So, what is the motiviation for having integration on a measure, rather than some other method for assigning values to subsets?(adsbygoogle = window.adsbygoogle || []).push({});

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# Is a measure space necessary for integration?

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