User Jhon Doe - Mathematics Stack Exchange

Jhon Doe

Member for 5 years, 10 months
Last seen more than a month ago

3 Answers

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1 vote

Let $f$ be integrable over $R$ such that for any open set $U$: $\int_u fd\mu\leq b\mu(u)$. Then $f\leq b$ a.e

integration measure-theory lebesgue-measure

answered Nov 19, 2019 at 4:36

1 vote

Accepted

for all $E \subset X$ and $\epsilon>0$ there exists $A$ such that $u^(A) < u^(E) + \epsilon$ where $u^*$ is an outermeasure

real-analysis measure-theory outer-measure

answered Jun 15, 2020 at 2:38

0 votes

Rank and Nullity is preserved by multiplication of invertible matrices (PID).

abstract-algebra matrices principal-ideal-domains

answered Feb 15 at 12:39