Homogeneous families on trees and subsymmetric basic sequences

Keywords

Mathematics, Homogeneous, Banach space, Space (punctuation), Set (abstract data type)

References

• Walks On Ordinals And Their CharacteristicsStevo Todorčević — 2007
• Banach spaces and large cardinalsJussi Ketonen — 1974
• Ein Gegenbeispiel zur Theorie der schwachen KonvergenzJoshua Schreier — 1930
• Normalized weakly null sequence with no unconditional subsequenceB. Maurey, Haskell P. Rosenthal — 1977
• Positional graphs and conditional structure of weakly null sequencesJ. López-Abad, Stevo Todorčević — 2011
• Not every Banach space contains an imbedding oflp or c0Boris Tsirelson — 1974
• Partition theorems for systems of finite subsets of integersPavel Pudlák, Vojteěch Rödl — 1982
• Well-quasi-ordering, the Tree Theorem, and Vazsonyi’s conjectureJoseph B. Kruskal — 1960
• Methods in the Theory of Hereditarily Indecomposable Banach SpacesSpiros A. Argyros, Andreas G. Tolias — 2004
• Tsirelson superspaces and lpSteven F. Bellenot — 1986
• A nonseparable Banach space not containing a subsymmetric basic sequenceEdward Odell — 1985
• 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
• Pre-compact families of finite sets of integers and weakly null sequences in Banach spacesJ. López-Abad, Stevo Todorčević — 2005
• On well-quasi-ordering transfinite sequencesC. St. J. A. Nash‐Williams — 1965
• Spaces with local equivalence relations, and their monodromyAnders Kock, Ieke Moerdijk — 1996
• The unconditional basic sequence problemW. T. Gowers, B. Maurey — 1992
• Descriptive set theory and Banach spacesGhadeer Ghawadrah — 2015
• On Fraisse's order type conjectureRichard Laver — 1971
• α-Large Families and Applications to Banach Space TheorySpiros A. Argyros, Pavlos Motakis — 2013

Cited by

• Banach-Stone-like results for combinatorial Banach spacesChristina Brech, Claribet Piña — 2020
• Tightness in Banach spacesAlejandra Carolina Caceres Rigo — 2022

Related papers

• Types of tightness in spaces with unconditional basisAntonis Manoussakis, Anna Pelczar‐Barwacz — 2013
• Convergent sequences in various topological spacesDawid Migacz — 2021
• MADNESS IN VECTOR SPACESIian B. Smythe — 2017
• Generic Banach spaces and generic simplexesJ. López-Abad, Stevo Todorčević — 2011