The difference between Measurable space and Measure space

When used as nouns, measurable space means a set with a σ-algebra defined on it, whereas measure space means a measurable space which has a positive measure defined on its σ-algebra.


check bellow for the other definitions of Measurable space and Measure space

  1. Measurable space as a noun (mathematics):

    A set with a σ-algebra defined on it.

  1. Measure space as a noun (analysis):

    A measurable space which has a positive measure defined on its σ-algebra.