Tukey types of ultrafilters

zbMath1291.03083arXiv1110.4153MaRDI QIDQ351814

Natasha Dobrinen, Stevo Todorčević

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4153

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (22)

Spectra of Tukey types of ultrafilters on Boolean algebras ⋮ Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems ⋮ Ramsey subsets of the space of infinite block sequences of vectors ⋮ COMBINATORICS OF ULTRAFILTERS ON COHEN AND RANDOM ALGEBRAS ⋮ A long chain of P-points ⋮ Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points ⋮ The Tukey order and subsets of \(\omega_1\) ⋮ Ramsey for R1 ultrafilter mappings and their Dedekind cuts ⋮ Cofinal types on ω₂ ⋮ Cofinal types of ultrafilters ⋮ Discrete ultrafilters and homogeneity of product spaces ⋮ On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility ⋮ Continuous and other finitely generated canonical cofinal maps on ultrafilters ⋮ Topological Ramsey spaces and metrically Baire sets ⋮ A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1 ⋮ Hausdorff gaps and towers in P(ω)/ Fin ⋮ There are no P-points in Silver extensions ⋮ Chains of P-points ⋮ 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 ⋮ Orderings of ultrafilters on Boolean algebras ⋮ Basic orders in descriptive combinatorics

Cites Work

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• Cofinal types of ultrafilters
• Forbidden rectangles in compacta
• Near coherence of filters. III: A simplified consistency proof
• A canonical partition relation for finite subsets of \(\omega\)
• Cofinal types of topological directed orders.
• Ramsey methods in analysis
• Finite sums from sequences within cells of a partition of N
• An infinite Ramsey theorem and some Banach-space dichotomies
• Canonical equivalence relations on nets of PS\(_{c_{0}}\)
• Oriented systems
• Konfinalität
• Proof of a conjecture of B. Ruziewicz
• Upward directedness of the Rudin-Keisler ordering of p-points
• Introduction to Ramsey Spaces (AM-174)
• Tukey classes of ultrafilters on omega
• Directed Sets and Cofinal Types
• Consistency results about filters and the number of inequivalent growth types
• A Classification of Transitive Relations on ω₁
• Compacts de fonctions mesurables et filtres non mesurables
• On the existence of P-points in the Stone-Čech compactification of integers
• Semiselective coideals
• A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2
• Survey on the Tukey theory of ultrafilters
• The Category of Cofinal Types. II
• The Rudin-Keisler Ordering of P-Points

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