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.