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- W2000885005 abstract "We answer in the negative a question posed by Kechris-Solecki-Todorcevic as to whether the shift graph on Baire space is minimal among graphs of indecomposably infinite Borel chromatic number. To do so, we use ergodic-theoretic techniques to construct a new graph amalgamating various properties of the shift actions of free groups. The resulting graph is incomparable with any graph induced by a function. We then generalize this construction and collect some of its useful properties." @default.
- W2000885005 created "2016-06-24" @default.
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- W2000885005 date "2014-03-05" @default.
- W2000885005 modified "2023-09-25" @default.
- W2000885005 title "An antibasis result for graphs of infinite Borel chromatic number" @default.
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- W2000885005 doi "https://doi.org/10.1090/s0002-9939-2014-11918-6" @default.
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