I know how to construct a measurable set of a Cantor set that is not Borel but the example will be of the form $f^{-1}(E)$ is a subset of cantor set and is measurable (where $f$ is homeomorphism from Cantor set to a set of positive outer measure). So I would like an example of a measurable subset of the interval (say [10,100]), that is not a Borel set.
Asked
Active
Viewed 52 times
0
-
Without Axiom of Choice? – Przemysław Scherwentke Feb 12 '18 at 18:19
-
1See https://math.stackexchange.com/a/140582/44121 – Jack D'Aurizio Feb 12 '18 at 18:19
-
2Why not scale and translate the set you already have? – Xander Henderson Feb 12 '18 at 18:19