The difference between Measurable set and Measurable space

When used as nouns, measurable set means a subset of a given measurable space which is a member of the σ-algebra of that space, whereas measurable space means a set with a σ-algebra defined on it.


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

  1. Measurable set as a noun (analysis):

    A subset of a given measurable space which is a member of the σ-algebra of that space.

  1. Measurable space as a noun (mathematics):

    A set with a σ-algebra defined on it.