Infinity-Borel set
Summary
In set theory, a subset of a Polish space is ∞-Borel if it can be obtained by starting with the open subsets of , and transfinitely iterating the operations of complementation and well-ordered union. This concept is usually considered without the assumption of the axiom of choice, which means that the ∞-Borel sets may fail to be closed under well-ordered union; see below.
Further reading
- Wikipedia, page 2234812, revision 1191808170, Infinity-Borel set. adopted
About this page
| Tag | FDW81MBGJK |
|---|---|
| URI | m2://FDW81MBGJK |
| Aliases | infinity-borel, borel |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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What this page needs for W2
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- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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