New posts in measure-theory

Integral and measures on manifolds

measure-theory differential-geometry reference-request hausdorff-measure

Show that an increasing function has derivative $0$ a.e.

probability measure-theory radon-nikodym

Measurable functions with values in Banach spaces

real-analysis measure-theory

Inner regularity property of Radon measures in metric spaces

measure-theory geometric-measure-theory

Total variation of complex measure is finite

Let $\lambda(A)$ be the Lebesgue measure of $A$. There exists an interval $I$ such that $\lambda(E \cap I) / \lambda(I) < 1-\epsilon$

measure-theory lebesgue-measure

Is Hahn-Kolmogorov theorem a direct result of Carathéodory's extension theorem?

weak convergence of independent sequence

Almost complete proof that $\int_A f_n \to \int_A f$

real-analysis integration measure-theory convergence-divergence lebesgue-integral

How is this $\mu_0$ not a premeasure?

real-analysis measure-theory

Ideas for defining a "size" which informally measures subsets of rationals to eachother?

measure-theory set-theory

Creating a Lebesgue measurable set with peculiar property. [duplicate]

measure-theory lebesgue-measure

Uniform integrability and tightness.

real-analysis measure-theory

Failure of Doob-Dynkin lemma in general measurable spaces

real-analysis measure-theory probability-theory

A compactly supported continuous function on an open subset of $\mathbb R^n$ is Riemann integrable. What is the relevance of openness in the proof?

real-analysis calculus integration measure-theory differential-geometry

Let $\mathcal A$ be a collection of pairwise disjoint subsets of a $\sigma$-finite measure space,Show that $\mathcal A$ is at most countable.

real-analysis measure-theory

Connectedness of parts used in the Banach–Tarski paradox

measure-theory set-theory axiom-of-choice connectedness paradoxes

measurability with zero measure

real-analysis measure-theory lebesgue-measure

Measurable Maps and Continuous Functions

measure-theory functions

Additive set function on a semiring of sets