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- W4385192016 abstract "We find a strong separation between two natural families of simple rank one theories in Keisler's order: the theories Tm reflecting graph sequences, which witness that Keisler's order has the maximum number of classes, and the theories Tn,k, which are the higher-order analogues of the triangle-free random graph. The proof involves building Boolean algebras and ultrafilters “by hand” to satisfy certain model theoretically meaningful chain conditions. This may be seen as advancing a line of work going back through Kunen's construction of good ultrafilters in ZFC using families of independent functions. We conclude with a theorem on flexible ultrafilters, and open questions." @default.
- W4385192016 created "2023-07-25" @default.
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- W4385192016 date "2024-01-01" @default.
- W4385192016 modified "2023-10-17" @default.
- W4385192016 title "Some simple theories from a Boolean algebra point of view" @default.
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- W4385192016 doi "https://doi.org/10.1016/j.apal.2023.103345" @default.
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