SMALL UNIVERSAL FAMILIES OF GRAPHS ON ℵω + 1

DOI10.1017/jsl.2015.65zbMath1436.03258arXiv1408.4188OpenAlexW3098024919MaRDI QIDQ3188329

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Publication date: 19 August 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4188

zbMATH Keywords

graphsuniversalityiterated forcingPrikry forcingsuccessors of singular cardinalslaver indestructibilitymaster conditions

Mathematics Subject Classification ID

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

Related Items (2)

Universal graphs at \(\aleph_{\omega_1 + 1}\) ⋮ A framework for forcing constructions at successors of singular cardinals

Cites Work

• On universal graphs without instances of CH
• On the singular cardinals problem. I
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• A weak generalization of MA to higher cardinals
• On the existence of universal models
• The generalized continuum hypothesis can fail everywhere
• Diamonds
• On sequences generic in the sense of Prikry

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