Amalgamation and Ramsey properties of \(L_p\) spaces

DOI10.1016/j.aim.2020.107190zbMath1465.46013arXiv1903.05504OpenAlexW3021526215WikidataQ122112007 ScholiaQ122112007MaRDI QIDQ2182285

Jordi López-Abad, Valentin Ferenczi, Brice R. Mbombo, Stevo Todorčević

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1903.05504

zbMATH Keywords

amalgamationRamsey propertyextreme amenabilityFraïssé theoryisometries on \(L_p\) spacesultrahomogeneity

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Banach lattices (46B42) Generalized Ramsey theory (05C55) Isometric theory of Banach spaces (46B04) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

The Ramsey property for Banach spaces and Choquet simplices ⋮ The Ramsey properties for Grassmannians over \(\mathbb{R},\mathbb{C}\) ⋮ Maximal equivariant compactification of the Urysohn spaces and other metric structures ⋮ The Ramsey property for operator spaces and noncommutative Choquet simplices ⋮ Fraïssé and Ramsey properties of Fréchet spaces ⋮ The Kechris-Pestov-Todorčević correspondence from the point of view of category theory ⋮ On Mazur rotations problem and its multidimensional versions

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