An example of Lebesgue measurable set but not Borel measurable besides the "subset of Cantor set" example.
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
98580
Lebesgue-measurable sets requiring the Axiom of Choice to construct
88099
Not $\sigma$-compact set without axiom of choice
69857
Is the set $A=\{x\in E|\lim_{n \to\infty} f_n(x)\ exists\ (finitely)\}$ measurable?
109301
Lebesgue Integral of Non-Measurable Function
53663
outer measure and measurable sets
151707
Fatou's lemma and measurable sets
272
Cantor Sets/nonempty/cardinality
41937
Can one construct a non-measurable set without Axiom of choice?
125190
Convergence to function that is not measurable
32347
Limit of a decreasing sequence of measurable sets.
49039
Sets with Hausdorff-Measure 0
41683
Pre-image of a measurable set A is always measurable?
131664
Why is any Lebesgue-Stieltjes measure on $(\mathbb{R},\mathcal{B}_\mathbb{R})$ not complete?
17764
What's the relationship between Borel set and set whose boundary is measure zero?
106843
Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $
147534
The set of irrational numbers is not a $F_{\sigma}$ set.