6 citations · 6 across the 5 of their papers we have counts for
5 papers · 1 filter
Combining Resurrection and Maximality
Kaethe Minden
It is shown that the resurrection axiom and the maximality principle may be consistently combined for various iterable forcing classes. The extent to which resurrection and maximal…
The subcompleteness of diagonal Prikry forcing
Kaethe Minden
Let be an infinite discrete set of measurable cardinals. It is shown that generalized Prikry forcing to add a countable sequence to each cardinal in is subcomplete. To do t…
Subcomplete forcing, trees and generic absoluteness
Gunter Fuchs, Kaethe Minden
We investigate properties of trees of height and their preservation under subcomplete forcing. We show that subcomplete forcing cannot add a new branch to an -tree. We i…
On Subcomplete Forcing
Kaethe Minden
I survey an array of topics in set theory in the context of a novel class of forcing notions: subcomplete forcing. Subcompleteness was originally defined by Ronald Jensen. I have a…
Split Principles
Gunter Fuchs, Kaethe Minden
We introduce the split principles and show that they bear tight connections to large cardinal properties such as inaccessibility, weak compactness, subtlety, almost ineffability an…