Finite high-order games and an inductive approach towards Gowers's dichotomy

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Author
Date
2001-07Type
- Journal Article
ETH Bibliography
no
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Abstract
In this paper we present the notion of finite high-order Gowers games, and prove a statement parallel to Gowers’s Combinatorial Lemma for these games. We derive ‘quantitative’ versions of the original Gowers Combinatorial Lemma and of Gowers’s Dichotomy, which place them in the context of the recently introduced infinite dimensional asymptotic theory for Banach spaces. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000121668Publication status
publishedExternal links
Journal / series
Annals of Pure and Applied LogicVolume
Pages / Article No.
Publisher
ElsevierSubject
Banach spaces; Infinite dimensional asymptotic structure; Unconditional basic sequences; Heredetarily indecomposable spacesOrganisational unit
09591 - Wagner, Roy / Wagner, Roy
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ETH Bibliography
no
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