Jhon Doe

Member for 6 years, 5 months
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measure-theory

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13

Subset of totally bounded set is totally bounded.

Feb 26, 2018

8

$\mathbb{Q}(\alpha)=\mathbb{Q}(\beta)$ if $\alpha, \beta$ are algebraic over $\mathbb{Q}$ of degree $2$ and $\alpha +\beta$ is a root of a quadratic.

Oct 15, 2018

7

If $ U$ is maximal among non-principal ideals show that $U$ is prime. (Hints?)

Mar 3, 2018

6

Proof of Uncountable Basis for $\mathbb{N} \to \mathbb{R}$ over $\mathbb{R}$

Feb 12, 2017

5

Uncountable basis of vector space of infinite sequences in R

Feb 12, 2017

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1

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

Nov 19, 2019

1

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

Jun 15, 2020

0

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

Feb 15, 2022

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measure-theory

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real-analysis

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integration

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lebesgue-measure

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outer-measure

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