List questions from lebesgue-measure

Published on 14 Jun 2014 - 1:24

86

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Can $\mu(A) < \liminf_{n\to\infty} \mu (A_n)$?

Published on 14 Jun 2014 - 2:08

399

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Support of a positive measure

Published on 01 Apr 2026 - 2:04

72

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$\lbrace D^+ f < c \rbrace$ is measurable when $f$ is continuous

Published on 14 Jun 2014 - 10:32

1.4k

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Is the exclusion of uncountable additivity a drawback of Lebesgue measure?

Published on 03 Apr 2026 - 20:33

4k

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Fat cantor set has positive lebesgue measure

Published on 16 Jun 2014 - 1:54

433

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Suppose that all functions ${f_n},f$ are integrable. Is $\lim_{n \rightarrow \infty} \int f_n(x)dx = \int f(x)dx?$

Published on 01 Apr 2026 - 3:45

634

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Two continuous function differ on set of measure zero?

Published on 16 Jun 2014 - 23:22

113

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Measurability of a function in $\mathcal{B}(\mathcal{C}([0,1],\mathbb{R}))$

Published on 29 Mar 2026 - 15:14

139

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Are 'finitely measurable functions' closed under addition?

Published on 17 Jun 2014 - 21:27

126

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Fine Print of Egorov's Theorem

Published on 18 Jun 2014 - 8:50

1.6k

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Borel set approximation

Published on 18 Jun 2014 - 11:31

789

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Full Lebesgue measure(Dynamical systems)

Published on 03 Apr 2026 - 1:24

90

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The relation between the integration on concentric hypercubes

Published on 19 Jun 2014 - 4:58

1.6k

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Square Integrable and Continuous

Published on 01 Apr 2026 - 3:47

List Question

Can conclude $\mu\left(A\right)=0$ and why?

Can $\mu(A) < \liminf_{n\to\infty} \mu (A_n)$?

Support of a positive measure

$\lbrace D^+ f < c \rbrace$ is measurable when $f$ is continuous

Is the exclusion of uncountable additivity a drawback of Lebesgue measure?

Fat cantor set has positive lebesgue measure

Suppose that all functions ${f_n},f$ are integrable. Is $\lim_{n \rightarrow \infty} \int f_n(x)dx = \int f(x)dx?$

Two continuous function differ on set of measure zero?

Measurability of a function in $\mathcal{B}(\mathcal{C}([0,1],\mathbb{R}))$

Are 'finitely measurable functions' closed under addition?

Fine Print of Egorov's Theorem

Borel set approximation

Full Lebesgue measure(Dynamical systems)

The relation between the integration on concentric hypercubes

Square Integrable and Continuous

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