Measure and integration Measures Concept
Complete measure
Summary
A measure is complete if every subset of a set of measure zero is measurable. Then such subsets automatically have measure zero. Lebesgue measure on the Lebesgue measurable sets is complete, while its restriction to the Borel sets is not.
Where this leads
2 pages build on this one.
Further reading
About this page
| Tag | 22K8CSQTYM |
|---|---|
| URI | m2://22K8CSQTYM |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A12 |
| Specializes | Measure |
| Same as | |
| Changed | 2 November 2026 |
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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.