A long chain of P-points

DOI10.1142/S0219061318500046OpenAlexW2964012865MaRDI QIDQ4565757

Dilip Raghavan, Boriša Kuzeljević

Publication date: 13 June 2018

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07188

zbMATH Keywords

ultrafilterTukey reducibilityP-pointRudin-Keisler order

Mathematics Subject Classification ID

Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Other classical set theory (including functions, relations, and set algebra) (03E20) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (5)

Cofinal types on ω₂ ⋮ Lower bounds of sets of P-points ⋮ Rapid interval P-points ⋮ Chains of P-points ⋮ THE RUDIN–KEISLER ORDERING OF P-POINTS UNDER 𝔟 = 𝔠

Cites Work

• Unnamed Item
• Tukey types of ultrafilters
• Cofinal types of ultrafilters
• Models with second order properties. V: A general principle
• Forcing with filters and complete combinatorics
• On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility
• Diamonds
• Tukey classes of ultrafilters on omega
• P Points With Countably Many Constellations
• The Rudin-Blass ordering of ultrafilters
• Norms on possibilities. I. Forcing with trees and creatures
• Chains of P-points
• 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
• The Rudin-Keisler Ordering of P-Points

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