An infinite-dimensional version of Gowers’ $\mathrm {FIN}_{\pm k}$ theorem

DOI10.1090/proc/15107zbMath1484.03084arXiv1905.02160OpenAlexW3014656476MaRDI QIDQ5117312

Jamal K. Kawach

Publication date: 20 August 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02160

zbMATH Keywords

ultrafiltersoscillation stabilityGowers' theorem\(\mathcal{U}\)-treesinfinite block sequencesultra-Ramsey theory

Mathematics Subject Classification ID

Descriptive set theory (03E15) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Ramsey theory (05D10) Other combinatorial set theory (03E05) Generalizations of semigroups (20M75)

Related Items (1)

Parametrized Ramsey theory of infinite block sequences of vectors

Cites Work

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• Selctive ultrafilters and homogeneity
• Lipschitz functions on classical spaces
• Ramsey's theorem with sums or unions
• Ramsey methods in analysis
• Finite sums from sequences within cells of a partition of N
• Introduction to Ramsey Spaces (AM-174)
• A new proof that analytic sets are Ramsey
• A proof of W. T. Gowers’ $c_0$ theorem

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