List questions from borel-measures

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108

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Is the sets in density topology Euclidean $G_\delta$?

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148

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Bernoulli measure to binary expansion

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457

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Criteria for a distribution function to uniquely determine a measure on $(\mathbb{R}^2,\mathcal{B}(\mathbb{R}^2))$

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39

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Relates between states corresponding measure on $C(X)$

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635

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Borel measurable functions equal almost everywhere

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70

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Variance of Univariate Gaussian Mixture

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1.5k

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Proof that indicator function is random variable (Borel-measurable)

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192

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Proving $\lim_{n\to\infty}\sup_{\lambda \in \Lambda}\big|\int_\mathbb X f_{n, \lambda}(x) \mu_n(d x)-\int_\mathbb X f_\lambda(x) \mu(d x)\big|=0$

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694

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Equivalent definitions of the support of a measure

Published on 25 Mar 2026 - 13:57

61

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Finding dominating function

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93

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Prove that $\mu^*$ restricted to $\mathcal{B}(X)$ is a measure on $\mathcal{B}(X)$.

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1.1k

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Borel probability measure vs Probability measure

Published on 25 Mar 2026 - 13:53

239

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Approximation of jointly measurable, bounded function by sum of tensor products

Published on 17 Apr 2026 - 7:30

43

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Choosing a "canonical" representant of a class of measurable functions based on the essential range

Published on 25 Mar 2026 - 13:56

List Question

Describing Lebesgue measurable sets by G-delta and F-sigma sets

Is the sets in density topology Euclidean $G_\delta$?

Bernoulli measure to binary expansion

Criteria for a distribution function to uniquely determine a measure on $(\mathbb{R}^2,\mathcal{B}(\mathbb{R}^2))$

Relates between states corresponding measure on $C(X)$

Borel measurable functions equal almost everywhere

Variance of Univariate Gaussian Mixture

Proof that indicator function is random variable (Borel-measurable)

Proving $\lim_{n\to\infty}\sup_{\lambda \in \Lambda}\big|\int_\mathbb X f_{n, \lambda}(x) \mu_n(d x)-\int_\mathbb X f_\lambda(x) \mu(d x)\big|=0$

Equivalent definitions of the support of a measure

Finding dominating function

Prove that $\mu^*$ restricted to $\mathcal{B}(X)$ is a measure on $\mathcal{B}(X)$.

Borel probability measure vs Probability measure

Approximation of jointly measurable, bounded function by sum of tensor products

Choosing a "canonical" representant of a class of measurable functions based on the essential range

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