mathjacks
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# 140 Questions

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### Prove $m_*( \bigcup_{i=1}^\infty I_i ) = \sum_{i=1}^\infty \ell ( I_i )$ if $I_i \cap I_j = \emptyset \forall i,j$.

feb 28 at 4:34 mathjacks 1,206

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### Does $\bigcap_{i=1}^\infty \bigcup_{n=i}^\infty A_n = \bigcup_{i=1}^\infty \bigcap_{n=i}^\infty A_n$?

feb 23 at 4:15 mathjacks 1,206

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### Prove that outer measure is not finitely additive [duplicate]

feb 21 at 17:30 mathjacks 1,206

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### Express $\int_A^Bfdg$ as a sum using $\sigma_n$ and $\sum_{i=0}^ns_i$.

feb 19 at 14:27 user149418 1,143

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### If $A_i$ is measurable, prove that $B=\bigcap_{i=1}^\infty \bigcup_{n=i}^\infty A_n$ is a measurable set

feb 18 at 19:31 mathjacks 1,206

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