Sigma-Prikry forcing. III: Down to \(\aleph_{\omega}\)
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Publication:6147113
DOI10.1016/j.aim.2023.109377arXiv2209.10501OpenAlexW4388439913MaRDI QIDQ6147113
Dima Sinapova, Assaf Rinot, Alejandro Poveda
Publication date: 1 February 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.10501
Consistency and independence results (03E35) Ordered sets and their cofinalities; pcf theory (03E04)
Cites Work
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- Simple proofs of SCH from reflection principles without using better scales
- Martin's maximum, saturated ideals, and nonregular ultrafilters. I
- Proper forcing
- Reflecting stationary sets and successors of singular cardinals
- Forcing axioms and stationary sets
- Inequalities for cardinal powers
- On the singular cardinals problem. I
- On the singular cardinals problem. II
- Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
- The generalized continuum hypothesis revisited
- Reflection and not SCH with overlapping extenders
- The proper forcing axiom, Prikry forcing, and the singular cardinals hypothesis
- SQUARES, SCALES AND STATIONARY REFLECTION
- Proper Forcing
- Iterated Forcing and Elementary Embeddings
- Prikry-Type Forcings
- The Covering Lemma
- Openly generated Boolean algebras and the Fodor-type reflection principle
- A topological reflection principle equivalent to Shelah’s strong hypothesis
- Cardinal arithmetic for skeptics
- Consistency Results Concerning Supercompactness
- Extender based forcings
- A new Löwenheim-Skolem theorem
- Reflecting stationary sets
- Sigma-Prikry forcing I: The Axioms
- Sigma-Prikry forcing II: Iteration Scheme
- BLOWING UP THE POWER OF A SINGULAR CARDINAL OF UNCOUNTABLE COFINALITY
- Reflection implies the SCH
- The proper forcing axiom and the singular cardinal hypothesis
- THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
- Powers of regular cardinals
- Consistency of the Continuum Hypothesis. (AM-3)
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