Sigma-Prikry forcing I: The Axioms
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Publication:5012464
DOI10.4153/S0008414X20000425OpenAlexW3102884599MaRDI QIDQ5012464
Alejandro Poveda, Dima Sinapova, Assaf Rinot
Publication date: 24 November 2021
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.03335
Consistency and independence results (03E35) Large cardinals (03E55) Ordered sets and their cofinalities; pcf theory (03E04)
Related Items (6)
Sigma-Prikry forcing II: Iteration Scheme ⋮ Reflection and not SCH with overlapping extenders ⋮ STATIONARY REFLECTION AND THE FAILURE OF THE SCH ⋮ Sigma-Prikry forcing. III: Down to \(\aleph_{\omega}\) ⋮ Negating the Galvin property ⋮ Set theory. Abstracts from the workshop held January 9--15, 2022
Cites Work
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- More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions
- A weak generalization of MA to higher cardinals
- Not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations
- Iteration of \(\lambda\)-complete forcing notions not collapsing \(\lambda^+\)
- Knaster and friends. I: Closed colorings and precalibers
- Ordinal definable subsets of singular cardinals
- Successor of singulars: Combinatorics and not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations
- Iterated Cohen extensions and Souslin's problem
- SQUARES, SCALES AND STATIONARY REFLECTION
- CHAIN CONDITIONS OF PRODUCTS, AND WEAKLY COMPACT CARDINALS
- Iterated Forcing and Elementary Embeddings
- Prikry-Type Forcings
- Universal graphs at the successor of a singular cardinal
- Diamonds, uniformization
- Extender based forcings
- On iterated forcing for successors of regular cardinals
- The last forcing standing with diamonds
- A framework for forcing constructions at successors of singular cardinals
- The failure of diamond on a reflecting stationary set
- On SCH and the approachability property
- THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
- Consistency of the Continuum Hypothesis. (AM-3)
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