# Measurable Space

(Redirected from measurable space)

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A Measurable Space is a Set Field (S, Σ) associated to a Measure Space.

**Context:**- It is the Function Domain of a Measure Function.

**Example(s):**- a Probability Space.
- a Metric Space.
- …

**Counter-Example(s):****See:**Measurable Set, 3D Space.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Measure_(mathematics)
- Furthermore, we call the couple (X, Σ) a measurable space with the members of Σ being called measurable sets, and the triple (X, Σ, μ) a measure space.