ON RESURRECTION AXIOMS

DOI10.1017/jsl.2013.39zbMath1373.03100OpenAlexW2404194969MaRDI QIDQ5501772

Konstantinos Tsaprounis

Publication date: 14 August 2015

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

Full work available at URL: https://doi.org/10.1017/jsl.2013.39

zbMATH Keywords

forcing axiomsextendible cardinalsresurrection axiomsweak square principleMartin's \(\text{maximum}^{++}\)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Generic absoluteness and forcing axioms (03E57)

Related Items (7)

On a class of maximality principles ⋮ IDENTITY CRISIS BETWEEN SUPERCOMPACTNESS AND VǑPENKA’S PRINCIPLE ⋮ Diagonal reflections on squares ⋮ HIERARCHIES OF FORCING AXIOMS, THE CONTINUUM HYPOTHESIS AND SQUARE PRINCIPLES ⋮ HIERARCHIES OF (VIRTUAL) RESURRECTION AXIOMS ⋮ Ultrahuge cardinals ⋮ ON C⁽ⁿ⁾-EXTENDIBLE CARDINALS

Cites Work

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• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Bounded forcing axioms as principles of generic absoluteness
• PFA and ideals on \(\omega_{2}\) whose associated forcings are proper
• Elementary chains and \(C ^{(n)}\)-cardinals
• Resurrection axioms and uplifting cardinals
• Iterated Cohen extensions and Souslin's problem
• SQUARES, SCALES AND STATIONARY REFLECTION
• Ideals and Generic Elementary Embeddings
• Successors of Singular Cardinals
• Semi-proper forcing, remarkable cardinals, and Bounded Martin's Maximum
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS

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