Measure and integration Set systems Concept
Universally measurable set
Summary
A subset of a measurable space is universally measurable if it is measurable for the completion of every probability measure on the space. The universally measurable sets form a σ-algebra that contains all the original measurable sets. In Polish spaces they include the analytic sets, which may fail to be Borel.
Further reading
About this page
| Tag | GSFXAV0VD7 |
|---|---|
| URI | m2://GSFXAV0VD7 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A05, 28C15 |
| Same as | |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.