There is no bound on sizes of indecomposable Banach spaces

DOI10.1016/j.aim.2017.11.002zbMath1396.46015arXiv1603.01753OpenAlexW2962886173MaRDI QIDQ1682013

Piotr Koszmider, Michał Świȩtek, Saharon Shelah

Publication date: 28 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01753

zbMATH Keywords

Banach spaces of continuous functionsgeneralized continuum hypothesisindecomposable Banach spacesBanach spaces with few operatorsendo-rigid Boolean algebrasstrongly rigid compact spaces

Mathematics Subject Classification ID

Compactness (54D30) Classical Banach spaces in the general theory (46B25) Linear operators on function spaces (general) (47B38) Consistency and independence results (03E35) Boolean algebras with additional operations (diagonalizable algebras, etc.) (06E25)

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Lipschitz retractions and complementation properties of Banach spaces ⋮ A Banach space \(C(K)\) reading the dimension of \(K\) ⋮ A complete metric space without non-trivial separable Lipschitz retracts ⋮ Decompositions of Banach spaces \(C(K)\) with few operators ⋮ Grothendieck spaces: the landscape and perspectives

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