# Non-Measurable Space

A Non-Measurable Space is a Set Field which members are non-measurable sets.

**Counter-Example(s):****See:**Non-Measure Function, Votali Set, Hausdorff paradox, Hausdorff Oaradox, Banach-Tarski Paradox, Lebesgue Measurable.

## References

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Measure_(mathematics)#Non-measurable_sets
- If the axiom of choice is assumed to be true, not all subsets of Euclidean space are Lebesgue measurable; examples of such sets include the Vitali set, and the non-measurable sets postulated by the Hausdorff paradox and the Banach–Tarski paradox.