Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 2022 | Submitted
Journal Article Open

Monochromatic combinatorial lines of length three

Abstract

We show that there is a positive constant c such that any colouring of the cube [3]^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.

Attached Files

Submitted - 1810.09767.pdf

Files

1810.09767.pdf
Files (79.0 kB)
Name Size Download all
md5:cf2cbc218f2a1fd076161ad6098d3ecd
79.0 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023