HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS

DOI10.1017/JSL.2015.10zbMath1436.03244arXiv1406.1291OpenAlexW2962793687MaRDI QIDQ2805036

Natasha Dobrinen

Publication date: 9 May 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1291

zbMATH Keywords

Ramsey theoryultrafilterEllentuck spaceTukey type

Mathematics Subject Classification ID

Consistency and independence results (03E35) Ramsey theory (05D10) Other combinatorial set theory (03E05) Partition relations (03E02)

Related Items (13)

Spectra of Tukey types of ultrafilters on Boolean algebras ⋮ Creature forcing and topological Ramsey spaces ⋮ Partitions and conservativity ⋮ Maximal almost disjoint families, determinacy, and forcing ⋮ Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points ⋮ Ideal approach to convergence in functional spaces ⋮ Local Ramsey theory: an abstract approach ⋮ Continuous and other finitely generated canonical cofinal maps on ultrafilters ⋮ Banach Spaces from Barriers in High Dimensional Ellentuck Spaces ⋮ CLASSES OF BARREN EXTENSIONS ⋮ A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2 ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces ⋮ Parametrizing by the Ellentuck space

Cites Work

• Cofinal types of ultrafilters
• Partition theorems for systems of finite subsets of integers

This page was built for publication: HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS