A relative of the approachability ideal, diamond and non-saturation

DOI10.2178/jsl/1278682214zbMath1203.03074OpenAlexW2054184599MaRDI QIDQ4931105

Assaf Rinot

Publication date: 4 October 2010

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

Full work available at URL: https://doi.org/10.2178/jsl/1278682214

zbMATH Keywords

saturationdiamondreflection principlesweak squareapproachability idealdiamond starsapstationary hitting

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (19)

Knaster and friends. I: Closed colorings and precalibers ⋮ Higher Souslin trees and the GCH, revisited ⋮ Weak square and stationary reflection ⋮ Meeting numbers and pseudopowers ⋮ KNASTER AND FRIENDS III: SUBADDITIVE COLORINGS ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ Scales with various kinds of good points ⋮ Reflection principles, GCH and the uniformization properties ⋮ The failure of diamond on a reflecting stationary set ⋮ On the existence of skinny stationary subsets ⋮ Diamond, scales and GCH down to \(\aleph_{\omega^2}\) ⋮ THE EIGHTFOLD WAY ⋮ Diamond, GCH and weak square ⋮ The Ostaszewski square and homogeneous Souslin trees ⋮ A remark on Schimmerling's question ⋮ Towers and clubs ⋮ On the ideal \(J[\kappa\)] ⋮ A cofinality-preserving small forcing may introduce a special Aronszajn tree ⋮ Guessing more sets

Cites Work

• Unnamed Item
• A cofinality-preserving small forcing may introduce a special Aronszajn tree
• Some exact equiconsistency results in set theory
• The uniformization property for \(chi_ 2\).
• The Souslin problem
• Saturated filters at successors of singulars, weak reflection and yet another weak club principle
• The proper forcing axiom, Prikry forcing, and the singular cardinals hypothesis
• SQUARES, SCALES AND STATIONARY REFLECTION
• Full reflection of stationary sets below ℵ_ω
• Diamond, GCH and weak square
• Diamonds
• Some consequences of reflection on the approachability ideal
• Diamonds, uniformization
• Less saturated ideals

This page was built for publication: A relative of the approachability ideal, diamond and non-saturation