3.1 Stieltjes Premeasures

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Construction of premeasures using semi-algebras; in particular, we construct the Stieltjes premeasures (including the precursor to Lebesgue measure).
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Thanks for making the lectures available online! I was wondering how this general construction would work on a general orientable manifold such as a T^n or S^n space. Since the coordinates can be for instance periodic, there doesn't seem to be a natural choice of continuous monotone function F(x)=x.

AndrewLi
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Hi Dr. Kemp. I am perspective PhD student. Could I ask where you get those funny T-shirts, aha.

linli