About: Infinity-Borel set

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In set theory, a subset of a Polish space is ∞-Borel if itcan be obtained by starting with the open subsets of , and transfinitely iterating the operations of complementation and wellordered union. Note that the set of ∞-Borel sets may not actually be closed under wellordered union; see below.

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  • In set theory, a subset of a Polish space is ∞-Borel if itcan be obtained by starting with the open subsets of , and transfinitely iterating the operations of complementation and wellordered union. Note that the set of ∞-Borel sets may not actually be closed under wellordered union; see below. (en)
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  • In set theory, a subset of a Polish space is ∞-Borel if itcan be obtained by starting with the open subsets of , and transfinitely iterating the operations of complementation and wellordered union. Note that the set of ∞-Borel sets may not actually be closed under wellordered union; see below. (en)
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  • Infinity-Borel set (en)
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