Two-cardinal diamond star

DOI10.1002/MALQ.201200008zbMath1341.03077OpenAlexW1503476002MaRDI QIDQ2922489

Pierre Matet

Publication date: 10 October 2014

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

Full work available at URL: https://doi.org/10.1002/malq.201200008

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (9)

The secret life of \(\mu\)-clubs ⋮ APPLICATIONS OF PCF THEORY TO THE STUDY OF IDEALS ON ⋮ Meeting numbers and pseudopowers ⋮ When \(P_\kappa(\lambda)\) (vaguely) resembles \(\kappa\) ⋮ Towers and clubs ⋮ \( \mu \)-clubs of \(P_\kappa(\lambda )\): paradise in heaven ⋮ Good points for scales (and more) ⋮ Two-cardinal diamond and games of uncountable length ⋮ Guessing more sets

Cites Work

• Two cardinal versions of diamond
• Some partition relations for ideals on \(P_{\kappa}\lambda\)
• Chang's conjecture for \(\aleph_\omega\)
• Ineffability of \(\mathcal{P}_{\kappa} \lambda\) for \(\lambda\) with small cofinality
• Game ideals
• Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
• On the existence of large subsets of \([\lambda^{<\kappa}\) which contain no unbounded non-stationary subsets]
• Canonical structure in the universe of set theory. I
• The generalized continuum hypothesis revisited
• SQUARES, SCALES AND STATIONARY REFLECTION
• Weak saturation of ideals on P _κ (λ)
• The Magidor function and diamond
• Large cardinals and covering numbers
• Bounds for covering numbers
• A Model in Which GCH Holds at Successors but Fails at Limits
• On strong compactness and supercompactness
• A power function with a fixed finite gap everywhere
• Strong compactness and stationary sets

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