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math.CO2026
HJ numbers revisited
Saharon Shelah
We improve the bounds on the Hales-Jewett numbers to a tower of exponentiations. Earlier it was (that is, iterations of towers which are themselves iterated exponentiations).…
math.CO2021
From Shelah's block-content to Hales-Jewett
Mohammad Golshani, Mostafa Mirabi, Saharon Shelah
We study the quantitative relationship between the Hales-Jewett numbers and Shelah's block-content canonization functions. Block-content canonization yields a block subspace on whi…