More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions

DOI10.1007/s00153-013-0334-yzbMath1296.03025arXiv1105.6049OpenAlexW2047803420MaRDI QIDQ365678

Saharon Shelah, Andrzej Rosłanowski

Publication date: 9 September 2013

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

Full work available at URL: https://arxiv.org/abs/1105.6049

zbMATH Keywords

iterated forcing\(\lambda\)-properness\(\lambda\)-support iterationnot collapsing cardinalsproper forcingstationary subsets

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (5)

A parallel to the null ideal for inaccessible \(\lambda\). I ⋮ Regularity properties on the generalized reals ⋮ The last forcing standing with diamonds ⋮ Sigma-Prikry forcing I: The Axioms ⋮ HIGHER MILLER FORCING MAY COLLAPSE CARDINALS

Cites Work

• Unnamed Item
• Unnamed Item
• Fusion and large cardinal preservation
• Reasonable ultrafilters, again
• Uncountable superperfect forcing and minimality
• Sheva-sheva-sheva: large creatures
• Not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations
• Iteration of \(\lambda\)-complete forcing notions not collapsing \(\lambda^+\)
• Successor of singulars: Combinatorics and not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations
• Perfect-set forcing for uncountable cardinals
• On iterated forcing for successors of regular cardinals
• The last forcing standing with diamonds
• Measurable cardinals and the cofinality of the symmetric group

This page was built for publication: More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions