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Results tagged with measure-theory
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user 538624
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
2
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2
answers
120
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Is completion of measures equivalent to completion of sigma algebras as metric spaces with r...
An alternative way to get the Lebesgue $\sigma $-algebra $\mathcal{L} $ from the Borel algebra $B$ is to set $E\sim J$ iff $d(E,J):=\lambda(E\mathbin\Delta J)=0$ for $E,J\in B$. Then the completion of …
- 85
6
votes
0
answers
122
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Dependence on Urysohn's Lemma in Cartan's Construction of Haar Measure
This question was posted by someone else on stackexchange three months ago, but no one has answered as of yet:
Cartan's 1940 paper, Sur la mesure de Haar, claims to provide a proof of the existence a …
- 85