a Lebesgue measurable but non-Borel set
In fact, it can be shown that is an analytic set (http://planetmath.org/AnalyticSet2), meaning that it is the image of a continuous function for some Polish space and, consequently, is a universally measurable set.
This example is due to Lusin (1927).
|Title||a Lebesgue measurable but non-Borel set|
|Date of creation||2013-03-22 18:37:01|
|Last modified on||2013-03-22 18:37:01|
|Last modified by||gel (22282)|