New posts in borel-sets

A set in the Borel $\sigma$-algebra over $[0,1]$ that isn't in the algebra generated by open sets

general-topology measure-theory borel-sets

Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null $F_\sigma$ set?

measure-theory lebesgue-measure examples-counterexamples descriptive-set-theory borel-sets

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

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

Why do we work on the Borel sigma algebra and not on the Lebesgue sigma algebra?

measure-theory lebesgue-measure borel-sets

Proof explanation about why $\liminf_{n}X_{n}$ is a random variable

probability-theory random-variables limsup-and-liminf borel-sets

$\sigma$-algebra generated by a weakest topology such that some functions are continuous.

general-topology measurable-functions borel-sets

Proof that the Cardinality of Borel Sets on $\mathbb R$ is $c$ without using the ordinals .

real-analysis measure-theory descriptive-set-theory borel-sets

Subset of the preimage of a semicontinuous real function is Borel

real-analysis measure-theory borel-sets semicontinuous-functions

Is the sum (difference) of Borel set with itself a Borel set?

descriptive-set-theory borel-sets sumset

Is there any good text introducing a part of Borel-hierarchy which is in need in measure theory

measure-theory elementary-set-theory reference-request book-recommendation borel-sets

Is there a set $A \subset [0,1]$ such that both $A$ and $[0,1] \setminus A$ intersect every positive-measure set?

measure-theory descriptive-set-theory borel-sets

proving a function is Borelmeasurable

real-analysis borel-sets

For an arbitrary continuous $\mathbb{R}\to\mathbb{R}$, how to show that a certain Borel set is contained in the set of finite differentiability?

real-analysis derivatives continuity borel-sets

Strongly zero-dimensinal spaces that are homeomorphic to other spaces under certain conditions

general-topology borel-sets separable-spaces dimensional-analysis metrizability

Is "product" of Borel sigma algebras the Borel sigma algebra of the "product" of underlying topologies?

general-topology measure-theory borel-sets product-space

The domain of the Haar measure of the $n$-dimensional Torus

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

Constructing the Haar measure of the $n$-dimensional Torus

measure-theory lebesgue-measure borel-sets borel-measures haar-measure

Are Monotone functions Borel Measurable?

measure-theory monotone-functions measurable-functions borel-sets