Published January 2022 | Submitted
Journal Article Open
Monochromatic combinatorial lines of length three
We show that there is a positive constant c such that any colouring of the cube ^n in c log log n colours contains a monochromatic combinatorial line.
Additional Information© 2021 American Mathematical Society. Received by the editors September 8, 2019. Research was supported by ERC Starting Grant 676632 and by NSF Award DMS-2054452.
Submitted - 1810.09767.pdf