Switch to: References

Add citations

You must login to add citations.
  1. Combinatorics and forcing with distributive ideals.Pierre Matet - 1997 - Annals of Pure and Applied Logic 86 (2):137-201.
    We present a version for κ-distributive ideals over a regular infinite cardinal κ of some of the combinatorial results of Mathias on happy families. We also study an associated notion of forcing, which is a generalization of Mathias forcing and of Prikry forcing.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • On the Consistency Strength of Two Choiceless Cardinal Patterns.Arthur W. Apter - 1999 - Notre Dame Journal of Formal Logic 40 (3):341-345.
    Using work of Devlin and Schindler in conjunction with work on Prikry forcing in a choiceless context done by the author, we show that two choiceless cardinal patterns have consistency strength of at least one Woodin cardinal.
    Download  
     
    Export citation  
     
    Bookmark  
  • Ultrafilters over a measurable cardinal.A. Kanamori - 1976 - Annals of Mathematical Logic 10 (3-4):315-356.
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  • Prikry forcing and tree Prikry forcing of various filters.Tom Benhamou - 2019 - Archive for Mathematical Logic 58 (7-8):787-817.
    In this paper, we answer a question asked in Koepke et al. regarding a Mathias criteria for Tree-Prikry forcing. Also we will investigate Prikry forcing using various filters. For completeness and self inclusion reasons, we will give proofs of many known theorems.
    Download  
     
    Export citation  
     
    Bookmark   4 citations