Generic embeddings associated to an indestructibly weakly compact cardinal

DOI10.1016/j.apal.2010.07.005zbMath1225.03067OpenAlexW2028775699MaRDI QIDQ638477

Gunter Fuchs

Publication date: 12 September 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2010.07.005

zbMATH Keywords

forcinglarge cardinalsindestructibilityforcing axiomsgeneric ultrapowers

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (1)

HIERARCHIES OF FORCING AXIOMS, THE CONTINUUM HYPOTHESIS AND SQUARE PRINCIPLES

Cites Work

• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Set theory. An introduction to independence proofs
• Forcing axioms and stationary sets
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• A model of set-theory in which every set of reals is Lebesgue measurable
• Stationary Sets
• Ideals and Generic Elementary Embeddings
• Combined Maximality Principles up to large cardinals
• A Survey of Infinite Time Turing Machines
• Stacking mice
• Happy families
• Small forcing makes any cardinal superdestructible
• Removing Laver functions from supercompactness arguments
• Closed maximality principles: implications, separations and combinations
• Strongly unfoldable cardinals made indestructible
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