I have seen two books for measure theory, viz, Rudin's, and Lieb and Loss, "Analysis".
Both use some kind of Riesz representation theorem machinery to construct Lebesgue measure.
Is there a more "direct" construction, and if so, what is a source?
I have seen two books for measure theory, viz, Rudin's, and Lieb and Loss, "Analysis".
Both use some kind of Riesz representation theorem machinery to construct Lebesgue measure.
Is there a more "direct" construction, and if so, what is a source?