New posts in measure-theory

"Strict" Monotonicity of Integral

Dirac delta distribution & integration against locally integrable function

functional-analysis measure-theory distribution-theory lebesgue-measure

Conditional probability on zero probability events (Definition)

probability probability-theory measure-theory stochastic-processes

Find marginal distribution of Y while knowing distribution of X and $Y|X$

measure-theory statistics probability-distributions binomial-distribution

The sum of infinitely many $c$s is $c$ implies $c = 0$.

real-analysis algebra-precalculus probability-theory measure-theory

Why "countability" in definition of Lebesgue measures?

measure-theory lebesgue-measure

If $\{f_n\}$ is a measurable sequence of functions, then $\{x : \lim f_n(x) $ exists $\}$ is measurable

real-analysis measure-theory

Example of a non measurable function!

analysis measure-theory

Is this function between the sigma Algebra $G$ and the Borel Sigma measurable?

measure-theory measurable-functions borel-sets borel-measures

If $E$ has positive measure, then prove that there exists $h \in \mathbb{R}$ such that $|(E+h) \cap E| > 0$.

real-analysis measure-theory

Fat Cantor Set with large complement???

real-analysis measure-theory cantor-set

Do limits of sequences of sets come from a topology?

general-topology measure-theory limsup-and-liminf

Sigma algebra - motivation in measure theory

measure-theory elementary-set-theory

Subspaces of $L^p$

real-analysis functional-analysis measure-theory lp-spaces

Additive but not $\sigma$-additive function

real-analysis measure-theory probability-theory

Measure zero of the graph of a continuous function

real-analysis measure-theory

Find $n$-dimensional measure of set $A$

measure-theory lebesgue-integral lebesgue-measure

Does a set with strictly positive Lebesgue measure contain an interval?

measure-theory lebesgue-measure

An example that the supremum of a family of measurable functions need not to be measurable.

Borel $\sigma$ algebra on a topological subspace. [duplicate]