Continuous and other finitely generated canonical cofinal maps on ultrafilters

DOI10.4064/fm691-6-2019zbMath1461.03047arXiv1505.00368OpenAlexW3011547260MaRDI QIDQ3298772

Natasha Dobrinen

Publication date: 15 July 2020

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00368

zbMATH Keywords

ultrafilterTukeycontinuous cofinal mapfinitely generated cofinal mapRudin-BlassRudin-Keisler

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Consistency and independence results (03E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (2)

Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points ⋮ Orderings of ultrafilters on Boolean algebras

Cites Work

• Tukey types of ultrafilters
• Cofinal types of ultrafilters
• Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points
• Oriented systems
• HIGH DIMENSIONAL ELLENTUCK SPACES AND INITIAL CHAINS IN THE TUKEY STRUCTURE OF NON-P-POINTS
• On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility
• Konfinalität
• THE NEXT BEST THING TO A P-POINT
• Introduction to Ramsey Spaces (AM-174)
• Directed Sets and Cofinal Types
• A Classification of Transitive Relations on ω₁
• 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
• A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1
• The Category of Cofinal Types. II
• Unnamed Item

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