Positional graphs and conditional structure of weakly null sequences

Keywords

Mathematics, Subsequence, Uncountable set, Combinatorics, Null (SQL)

References

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• Banach spaces and large cardinalsJussi Ketonen — 1974
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• Not every Banach space contains an imbedding oflp or c0Boris Tsirelson — 1974
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• A cardinal defined by a polarized partition relationCarlos Gugusto Di Prisco, Stevo Todorčević — 1999
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• A Classification of Tsirelson Type SpacesJ. López-Abad, Antonis Manoussakis — 2005
• Unconditional basic sequences in spaces of large densityPandelis Dodos, J. López-Abad, Stevo Todorčević — 2008
• A CLASS OF BANACH SPACES WITH FEW NON STRICTLY SINGULAR OPERATORSSpiros A. Argyros, J. López-Abad, Stevo Todorčević — 2003
• Some weak versions of large cardinal axiomsKeith Devlin — 1973
• Families of Finite Subsets of ℕ of Low Complexity and Tsirelson Type SpacesJulio Bernués, Irene Deliyanni — 2001
• The unconditional basic sequence problemW. T. Gowers, B. Maurey — 1992
• A uniformly convex Banach space which contains no cpT. Figiel, William B. Johnson — 1974
• Classical Banach spacesJ. Lindenstrauss, L. Tzafriri — 1973

Cited by

• NON SEPARABLE REFLEXIVE SPACES ADMITTING ℓ1 AS A UNIQUE SPREADING MODELSpiros A. Argyros, Pavlos Motakis — 2013
• Large cardinals and basic sequencesJ. López-Abad — 2013
• There is no bound on sizes of indecomposable Banach spacesPiotr Koszmider, Saharon Shelah, Michał Świętek — 2016
• Unconditional and bimonotone structures in high density Banach spacesJarno Talponen — 2016
• Some Problems Concerning Basic Sequences in Banach SpacesJ. López-Abad — 2011
• Homogeneous families on trees and subsymmetric basic sequencesChristina Brech, J. López-Abad, Stevo Todorčević — 2016
• α-Large Families and Applications to Banach Space TheorySpiros A. Argyros, Pavlos Motakis — 2013
• Banach-Stone-like results for combinatorial Banach spacesChristina Brech, Claribet Piña — 2020
• An Asplund space with norming Markuševič basis that is not weakly compactly generatedPetr Hájek, Tommaso Russo, Jacopo Somaglia — 2020
• The first omega alephs: From simplices to trees of trees to higher walksJeffrey Bergfalk — 2020
• A combinatorial property of rho-functionsDilip Raghavan, Stevo Todorčević — 2022
• On the spaces dual to combinatorial Banach spacesPiotr Borodulin–Nadzieja, Sebastian Jachimek, Pelczar-Barwacz, Anna — 2022
• Ramsey-theoretic analysis of the conditional struc- ture of weakly-null sequencesS. Todorcevic — 2015

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