On reflection of stationary sets in $\mathcal {P}_\kappa \lambda $

DOI10.1090/S0002-9947-99-02448-4zbMath0955.03048arXivmath/9801078OpenAlexW2001649830MaRDI QIDQ4955695

Thomas J. Jech, Saharon Shelah

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801078

zbMATH Keywords

iterated forcingsupercompact cardinalstationary sets in \({\mathcal P}_{\kappa}\lambda\)reflection of stationary sets

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (1)

Square and non-reflection in the context of \(\mathcal P_{\kappa}\lambda\)

Cites Work

• Unnamed Item
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Iteration of \(\lambda\)-complete forcing notions not collapsing \(\lambda^+\)
• Full reflection of stationary sets below ℵ_ω
• Some Stationary Subsets of (λ)
• Countable approximations and Löwenheim-Skolem theorems
• Reflecting stationary sets
• Some combinatorial problems concerning uncountable cardinals

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