Positional graphs and conditional structure of weakly null sequences

DOI10.1016/j.aim.2013.04.010zbMath1277.46007arXiv1111.5150OpenAlexW1963831316MaRDI QIDQ387037

Stevo Todorčević, Jordi López-Abad

Publication date: 11 December 2013

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

Full work available at URL: https://arxiv.org/abs/1111.5150

zbMATH Keywords

minimal walksnon-separable Banach spacespolarized Ramsey-Banach problemseparable quotient problemunconditional and subsymmetric basic sequences

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Consistency and independence results (03E35) Large cardinals (03E55) Nonseparable Banach spaces (46B26) Summability and bases in topological vector spaces (46A35) Partition relations (03E02)

Related Items (8)

A combinatorial property of rho-functions ⋮ There is no bound on sizes of indecomposable Banach spaces ⋮ \(\alpha\)-large families and applications to Banach space theory ⋮ Weakly null sequences with an unconditional subsequence ⋮ An Asplund space with norming Markuševič basis that is not weakly compactly generated ⋮ Homogeneous families on trees and subsymmetric basic sequences ⋮ Banach-Stone-like results for combinatorial Banach spaces ⋮ The first omega alephs: from simplices to trees of trees to higher walks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of Banach spaces with few non-strictly singular operators
• Unconditional basic sequences in spaces of large density
• Tsirelson superspaces and \(\ell _ p\)
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Combinatorial set theory
• A cardinal defined by a polarized partition relation
• Walks on ordinals and their characteristics
• The Unconditional Basic Sequence Problem
• A Classification of Tsirelson Type Spaces
• Normalized weakly null sequence with no unconditional subsequence
• Some weak versions of large cardinal axioms
• Banach spaces and large cardinals
• Methods in the theory of hereditarily indecomposable Banach spaces

This page was built for publication: Positional graphs and conditional structure of weakly null sequences