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Everything about Infinity-Borel set
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. Wikipedia →
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