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- W2964277521 abstract "We prove a generalization of Gowers' theorem for FINk where, instead of the single tetris operation T:FINk→FINk−1, one considers all maps from FINk to FINj for 0≤j≤k arising from nondecreasing surjections f:{0,1,…,k}→{0,1,…,j}. This answers a question of Bartošová and Kwiatkowska. We also describe how to prove a common generalization of such a result and the Galvin–Glazer–Hindman theorem on finite products, in the setting of layered partial semigroups introduced by Farah, Hindman, and McLeod." @default.
- W2964277521 created "2019-07-30" @default.
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- W2964277521 date "2017-07-01" @default.
- W2964277521 modified "2023-10-12" @default.
- W2964277521 title "Gowers' Ramsey Theorem for generalized tetris operations" @default.
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- W2964277521 doi "https://doi.org/10.1016/j.jcta.2017.02.001" @default.
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