Newbetuts

If $E\in \mathscr{M}_{\mu^}$ , then for each $\varepsilon$ exists $A\in \mathscr{A}$ such that $\mu^(A\triangle E)< \varepsilon$

Is This Set of Zero Measure?

Radon–Nikodym derivative and "normal" derivative

Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?

Do we really get extra freedom if one conditions on probability zero events?

Banach Indicatrix Function

Kolmogorov Extension Theorem vs. Caratheodory Extension Theorem

If a measure only assumes values 0 or 1, is it a Dirac's delta?

Theorems similar to Dini's Theorem and Egoroff's Theorem

Convergence in distribution and in probabiliity

Closure, Interior, and Boundary of Jordan Measurable Sets.

Let $E \subset \Bbb R^n$ and $O_i=\{x \in \Bbb R^n \mid d(x,E)< \frac1i\}$. Show that if $E$ is compact, then $m(E)=\lim_{i\to\infty} m(O_i)$.

Can a set of Hausdorff codimension 2 disconnect a connected open set?

Forming a subset of $\mathbb{R}$ by coin tossing

New posts in measure-theory

Radon-Nikodým (chain rule and other properties)

Weak convergences of measurable functions and of measures

How to prove that Lebesgue outer measure is translation invariant?

Definition of a measurable function?

On the Lebesgue measure of a cartesian product

Concentration of measure bounds for multivariate Gaussian distributions (fixed)

If $E\in \mathscr{M}_{\mu^}$ , then for each $\varepsilon$ exists $A\in \mathscr{A}$ such that $\mu^(A\triangle E)< \varepsilon$

Is This Set of Zero Measure?

Radon–Nikodym derivative and "normal" derivative

Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?

Do we really get extra freedom if one conditions on probability zero events?

Banach Indicatrix Function

Kolmogorov Extension Theorem vs. Caratheodory Extension Theorem

If a measure only assumes values 0 or 1, is it a Dirac's delta?

Theorems similar to Dini's Theorem and Egoroff's Theorem

Convergence in distribution and in probabiliity

Closure, Interior, and Boundary of Jordan Measurable Sets.

Let $E \subset \Bbb R^n$ and $O_i=\{x \in \Bbb R^n \mid d(x,E)< \frac1i\}$. Show that if $E$ is compact, then $m(E)=\lim_{i\to\infty} m(O_i)$.

Can a set of Hausdorff codimension 2 disconnect a connected open set?

Forming a subset of $\mathbb{R}$ by coin tossing