RAMSEY THEORY WITHOUT PIGEONHOLE PRINCIPLE AND THE ADVERSARIAL RAMSEY PRINCIPLE

De Rancourt, N

De Rancourt, N (corresponding author), Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, Boite Courrier 7012, F-75205 Paris 13, France.; De Rancourt, N (corresponding author), Univ Wien, Kurt Godel Res Ctr, Inst Math, Augasse 2-6,UZA 1 Bldg 2, A-1090 Vienna, Austria.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020; 373 (7): 5025

Abstract

We develop a general framework for infinite-dimensional Ramsey theory with and without pigeonhole principle, inspired by Cowers' Ramsey-type theorem f......

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