# σ-finite measure

On this page:

## Definition of the noun σ-finite measure

What does σ-finite measure mean as a name of something?

**noun**

- [
*analysis*] [*context: of a set in a measurable space*] That it is expressible as a countable union of sets of finite measure.- hypernyms: measure

## Explanation

**σ-finite measure**: In mathematics, a positive measure μ defined on a σ-algebra Σ of subsets of a set X is called finite if μ is a finite real number. The measure μ is called σ-finite if X is the countable union of measurable sets with finite measure. A set in a measure space is said to have σ-finite measure if it is a countable union of sets with finite measure.

- also known as Σ-finite measure

## Online dictionaries and encyclopedias with entries for σ-finite measure

Click on a label to prioritize search results according to that topic: