Newbetuts

Showing $\lim_{n \to \infty} m(E_n) = 0$, assuming $f > 0$ a.e. and $\lim_{n \to \infty} \int_{E_n}f \,dm =0$

Sigma-algebra requirement 3, closed under countable unions.

Distribution Functions of Measures and Countable Sets

Cardinality of Vitali sets: countably or uncountably infinite?

A guess related to Lebesgue differentiation theorem

Two-valued measure is a Dirac measure

Measurability of the pushforward operator on measures

The "find my car" problem: proper interpretation and solution?

Real Analysis Convergence question

Why is it that $\mathscr{F} \ne 2^{\Omega}$?

Mixed Lebesgue spaces: information needed

Question about union of set difference vs difference of set unions

Joint measurability of a Brownian motion

Measure vs outer measure

Can the following construction be used to measure countable sets?

Prove that $\vert E \vert=0$ if $\frac{x+y}{2}\notin E$ for $x,y \in E$

How interpret convergence in probability?

New posts in measure-theory

Pushforward: from measure theory to differential geometry?

Examples of measurable and non measurable functions

Measurability of the integral of Brownian motion

Showing $\lim_{n \to \infty} m(E_n) = 0$, assuming $f > 0$ a.e. and $\lim_{n \to \infty} \int_{E_n}f \,dm =0$

Sigma-algebra requirement 3, closed under countable unions.

Distribution Functions of Measures and Countable Sets

Cardinality of Vitali sets: countably or uncountably infinite?

A guess related to Lebesgue differentiation theorem

Two-valued measure is a Dirac measure

Measurability of the pushforward operator on measures

The "find my car" problem: proper interpretation and solution?

Real Analysis Convergence question

Why is it that $\mathscr{F} \ne 2^{\Omega}$?

Mixed Lebesgue spaces: information needed

Question about union of set difference vs difference of set unions

Joint measurability of a Brownian motion

Measure vs outer measure

Can the following construction be used to measure countable sets?

Prove that $\vert E \vert=0$ if $\frac{x+y}{2}\notin E$ for $x,y \in E$

How interpret convergence in probability?