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- W4232323435 abstract "Publisher SummaryThis chapter presents analogues to the results with the notion of Baire category in place of Lebesgue measure. A set X ⊂ [0,1] is said to be of first category if € X is disjoint from some countable intersection of dense open sets. The classical Baire category theorem states that in ZFC, any countable union of sets of first category again has first category. There are two facts that have shown to use the Omitting Types theorem. It is shown that the union of any well-ordered sequence of sets of reals of first category has first category." @default.
- W4232323435 created "2022-05-12" @default.
- W4232323435 date "1971-01-01" @default.
- W4232323435 modified "2023-09-26" @default.
- W4232323435 title "27 The property of Baire" @default.
- W4232323435 doi "https://doi.org/10.1016/s0049-237x(08)70707-9" @default.
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