Ramsey theory without pigeonhole principle ...

Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
10.1090/tran/8063
Title :
Ramsey theory without pigeonhole principle and the adversarial Ramsey principle
Author(s) :
De Rancourt, Noé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Univerzita Karlova [Praha, Česká republika] = Charles University [Prague, Czech Republic] [UK]
Universität Wien = University of Vienna
Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
Département de Mathématiques et Applications - ENS-PSL [DMA]
Journal title :
Transactions of the American Mathematical Society
Pages :
5025-5056
Publisher :
American Mathematical Society
Publication date :
2020-04-28
ISSN :
0002-9947
English keyword(s) :
Infinite-dimensional Ramsey theory
Gowers' games
Determinacy
HAL domain(s) :
Mathématiques [math]/Logique [math.LO]
Mathématiques [math]/Combinatoire [math.CO]
English abstract : [en]
We develop a general framework for infinite-dimensional Ramsey theory with and without pigeonhole principle, inspired by Gowers’ Ramsey-type theorem for block sequences in Banach spaces and by its exact version proved by ...
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Language :
Anglais
Popular science :
Non
Collections :
Source :
Harvested from HAL
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