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- W3035779013 abstract "We show that several dichotomy theorems concerning the second level of the Borel hierarchy are special cases of the $aleph_0$-dimensional generalization of the open graph dichotomy, which itself follows from the usual proof(s) of the perfect set theorem. Under the axiom of determinacy, we obtain the generalizations of these results from analytic metric spaces to separable metric spaces. We also consider connections between cardinal invariants and the chromatic numbers of the corresponding dihypergraphs." @default.
- W3035779013 created "2020-06-25" @default.
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- W3035779013 date "2020-01-01" @default.
- W3035779013 modified "2023-09-25" @default.
- W3035779013 title "The open dihypergraph dichotomy and the second level of the Borel hierarchy" @default.
- W3035779013 doi "https://doi.org/10.1090/conm/752/15127" @default.
- W3035779013 hasPublicationYear "2020" @default.
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