μ-completion (English, noun)
expansion: μ-completion (plural μ-completions)
Senses:
topics: mathematical-analysis
mathematics
sciences
glosses: A σ-algebra which is obtained as a "completion" of a given σ-algebra, which includes all subsets of the given measure space which simultaneously contain a member of the given σ-algebra and are contained by a member of the given σ-algebra, as long as the contained and containing measurable sets have the same measure, in which case the subset in question is assigned a measure equal to the common measure of its contained and containing measurable sets (so the measure is also being completed, in parallel with the σ-algebra).
Forms:
form: μ-completions
tags: plural