Joint work with Menachem Kojman and Juris Steprāns.
Abstract. The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of reals of size
This clarifies the interaction between a gallery of coloring assertions going back to Luzin and Sierpinski a hundred years ago.
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Submitted to Proceedings of the American Mathematical Society, April 2021.
Accepted, April 2022.