Switch to: References

Citations of:

C (n)-cardinals

Archive for Mathematical Logic 51 (3-4):213-240 (2012)

Add citations

You must login to add citations.
  1. On Colimits and Elementary Embeddings.Joan Bagaria & Andrew Brooke-Taylor - 2013 - Journal of Symbolic Logic 78 (2):562-578.
    We give a sharper version of a theorem of Rosický, Trnková and Adámek [13], and a new proof of a theorem of Rosický [12], both about colimits in categories of structures. Unlike the original proofs, which use category-theoretic methods, we use set-theoretic arguments involving elementary embeddings given by large cardinals such as $\alpha$-strongly compact and $C^{(n)}$-extendible cardinals.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • On the Symbiosis Between Model-Theoretic and Set-Theoretic Properties of Large Cardinals.Joan Bagaria & Jouko Väänänen - 2016 - Journal of Symbolic Logic 81 (2):584-604.
  • A Model of the Generic Vopěnka Principle in Which the Ordinals Are Not Mahlo.Victoria Gitman & Joel David Hamkins - 2019 - Archive for Mathematical Logic 58 (1-2):245-265.
    The generic Vopěnka principle, we prove, is relatively consistent with the ordinals being non-Mahlo. Similarly, the generic Vopěnka scheme is relatively consistent with the ordinals being definably non-Mahlo. Indeed, the generic Vopěnka scheme is relatively consistent with the existence of a \-definable class containing no regular cardinals. In such a model, there can be no \-reflecting cardinals and hence also no remarkable cardinals. This latter fact answers negatively a question of Bagaria, Gitman and Schindler.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • On Extensions of Supercompactness.Robert S. Lubarsky & Norman Lewis Perlmutter - 2015 - Mathematical Logic Quarterly 61 (3):217-223.
  • Elementary Chains and C (N)-Cardinals.Konstantinos Tsaprounis - 2014 - Archive for Mathematical Logic 53 (1-2):89-118.
    The C (n)-cardinals were introduced recently by Bagaria and are strong forms of the usual large cardinals. For a wide range of large cardinal notions, Bagaria has shown that the consistency of the corresponding C (n)-versions follows from the existence of rank-into-rank elementary embeddings. In this article, we further study the C (n)-hierarchies of tall, strong, superstrong, supercompact, and extendible cardinals, giving some improved consistency bounds while, at the same time, addressing questions which had been left open. In addition, we (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  • The Large Cardinals Between Supercompact and Almost-Huge.Norman Lewis Perlmutter - 2015 - Archive for Mathematical Logic 54 (3-4):257-289.
  • Subcomplete Forcing Principles and Definable Well-Orders.Gunter Fuchs - 2018 - Mathematical Logic Quarterly 64 (6):487-504.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • On C-Extendible Cardinals.Konstantinos Tsaprounis - 2018 - Journal of Symbolic Logic 83 (3):1112-1131.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • Ultrahuge cardinals.Konstantinos Tsaprounis - 2016 - Mathematical Logic Quarterly 62 (1-2):77-87.
    No categories
    Direct download (2 more)  
    Translate
     
     
    Export citation  
     
    Bookmark   1 citation  
  • On Resurrection Axioms.Konstantinos Tsaprounis - 2015 - Journal of Symbolic Logic 80 (2):587-608.