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- W2333138599 abstract "We prove a generalization of Gowers' theorem for $mathrm{FIN}_{k}$ where, instead of the single tetris operation $T:mathrm{FIN}_{k}rightarrow mathrm{FIN}_{k-1}$, one considers all maps from $mathrm{FIN}_{k}$ to $mathrm{FIN}_{j}$ for $0leq jleq k$ arising from nondecreasing surjections $f:left{ 0,1,ldots ,k+1right} rightarrow left{ 0,1,ldots ,j+1right} $. This answers a question of Bartosova and Kwiatkowska. We also 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.
- W2333138599 created "2016-06-24" @default.
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- W2333138599 date "2016-03-30" @default.
- W2333138599 modified "2023-09-23" @default.
- W2333138599 title "Gowers' Ramsey theorem for generalized tetris operations" @default.
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