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{
    "pk": 65023,
    "title": "On a question of Gowers on clique differences",
    "subtitle": null,
    "abstract": "We solve a question of Gowers from 2009 on clique differences in chains, thus ruling out any Sperner-type proof of the polynomial density Hales-Jewett Theorem for alphabets of size 2.\n \nMathematics Subject Classifications: 05D10\n \nKeywords: Hales-Jewett, Polynomial Hales-Jewett, Ramsey Theory",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Hales-Jewett"
        },
        {
            "word": "Polynomial Hales-Jewett"
        },
        {
            "word": "Ramsey Theory"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/3s03p4zf",
    "frozenauthors": [
        {
            "first_name": "Ryan",
            "middle_name": "",
            "last_name": "Alweiss",
            "name_suffix": "",
            "institution": "Department of Pure Mathematics and Mathematical Statistics and Trinity College, University of Cambridge, U.K.",
            "department": ""
        }
    ],
    "date_submitted": "2026-02-02T09:55:13Z",
    "date_accepted": "2026-02-02T09:55:13Z",
    "date_published": "2025-12-20T08:00:00Z",
    "render_galley": null,
    "galleys": [
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            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/65023/galley/49833/download/"
        }
    ]
}