Banach Spaces from Barriers in High Dimensional Ellentuck Spaces

zbMath1405.46006arXiv1801.02278MaRDI QIDQ4580341

Alvaro Arias, José G. Mijares, Natasha Dobrinen, Gabriel Girón-Garnica

Publication date: 15 August 2018

Full work available at URL: https://arxiv.org/abs/1801.02278

zbMATH Keywords

Banach spacebarrierhigh-dimensional Ellentuck spaceTsirelson-type norm

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Ramsey theory (05D10) Other combinatorial set theory (03E05) Partition relations (03E02)

Related Items (2)

Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces

Cites Work

• Unnamed Item
• An arbitrarily distortable Banach space
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points
• HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS
• Examples of asymptotic ℓ₁ Banach spaces
• Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems
• Introduction to Ramsey Spaces (AM-174)
• A new proof that analytic sets are Ramsey
• Borel sets and Ramsey's theorem
• A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2
• A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1
• Some applications of model theory in set theory

This page was built for publication: Banach Spaces from Barriers in High Dimensional Ellentuck Spaces