{"pk":64943,"title":"A note on the induced Ramsey theorem for spaces","subtitle":null,"abstract":"The aim of this note is to give a simplified proof of the induced version of the Ramsey theorem for vector spaces first proved by H. J. Prömel in 1986.\n \nMathematics Subject Classifications: 05D10, 15A03\n \nKeywords: Ramsey theory, vector spaces","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":"Ramsey theory"},{"word":"vector spaces"}],"section":"Research Articles","is_remote":true,"remote_url":"https://escholarship.org/uc/item/2z60n2gv","frozenauthors":[{"first_name":"Bryce","middle_name":"","last_name":"Frederickson","name_suffix":"","institution":"Department of Mathematics, Emory University, Atlanta, GA, U.S.A.","department":""},{"first_name":"Vojtěch","middle_name":"","last_name":"Rödl","name_suffix":"","institution":"Department of Mathematics, Emory University, Atlanta, GA, U.S.A.","department":""},{"first_name":"Marcelo","middle_name":"","last_name":"Sales","name_suffix":"","institution":"Department of Mathematics, University of California, Irvine, CA, U.S.A.","department":""}],"date_submitted":"2024-09-25T15:48:25Z","date_accepted":"2024-09-25T15:48:25Z","date_published":"2024-09-30T07:00:00Z","render_galley":null,"galleys":[{"label":"","type":"pdf","path":"https://journalpub.escholarship.org/combinatorial_theory/article/64943/galley/49753/download/"}]}