Switch to: References

Add citations

You must login to add citations.
  1. Certain very large cardinals are not created in small forcing extensions.Richard Laver - 2007 - Annals of Pure and Applied Logic 149 (1-3):1-6.
    The large cardinal axioms of the title assert, respectively, the existence of a nontrivial elementary embedding j:Vλ→Vλ, the existence of such a j which is moreover , and the existence of such a j which extends to an elementary j:Vλ+1→Vλ+1. It is known that these axioms are preserved in passing from a ground model to a small forcing extension. In this paper the reverse directions of these preservations are proved. Also the following is shown : if V is a model (...)
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  • Generic at.Vincenzo Dimonte - 2018 - Mathematical Logic Quarterly 64 (1-2):118-132.
    In this paper we introduce a generic large cardinal akin to, together with the consequences of being such a generic large cardinal. In this case is Jónsson, and in a choiceless inner model many properties hold that are in contrast with pcf theory in.
    Download  
     
    Export citation  
     
    Bookmark  
  • A partially non-proper ordinal beyond L.Vincenzo Dimonte - 2012 - Annals of Pure and Applied Logic 163 (9):1309-1321.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Berkeley cardinals and the structure of L.Raffaella Cutolo - 2018 - Journal of Symbolic Logic 83 (4):1457-1476.
    Download  
     
    Export citation  
     
    Bookmark   1 citation