Measurable Space

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):
  • a Non-Measurable Space.
• See: Measurable Set, 3D Space.

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References

• http://upload.wikimedia.org/wikipedia/commons/a/a6/Measure_illustration.png

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.

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