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

DOI10.1016/S0168-0072(01)00034-3zbMath0994.46005OpenAlexW2003874933MaRDI QIDQ5942883

Roy Wagner

Publication date: 10 September 2001

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-0072(01)00034-3

zbMATH Keywords

unconditional basisGower's dichotomyhereditarily indecomposable

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (4)

An asymptotic version of the Gowers dichotomy and a new proof of Wagner theorem ⋮ On the hereditary proximity to \(\ell _{1}\) ⋮ Banach spaces without minimal subspaces ⋮ Trees and branches in Banach spaces

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• A new proof that analytic sets are Ramsey
• A dichotomy on Schreier sets
• Gowers’ dichotomy for asymptotic structure

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