Switch to: References

Add citations

You must login to add citations.
  1. Partition Forcing and Independent Families.Jorge A. Cruz-Chapital, Vera Fischer, Osvaldo Guzmán & Jaroslav Šupina - 2023 - Journal of Symbolic Logic 88 (4):1590-1612.
    We show that Miller partition forcing preserves selective independent families and P-points, which implies the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {u}=\mathfrak {i}<\mathfrak {a}_T=\omega _2$. In addition, we show that Shelah’s poset for destroying the maximality of a given maximal ideal preserves tight mad families and so we establish the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {i}=\omega _1<\mathfrak {u}=\mathfrak {a}_T=\omega _2$.
    Download  
     
    Export citation  
     
    Bookmark   1 citation