Kaethe Minden

activity

20172020

collaborators

6 papers

math.LO2020

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…

math.CO2018

Infinite Latin Squares: Neighbor Balance and Orthogonality

Anthony B. Evans, Gage N. Martin, Kaethe Minden +1

Regarding neighbor balance, we consider natural generalizations of $D$ -complete Latin squares and Vatican squares from the finite to the infinite. We show that if $G$ is an infinit…

math.LO2018

The subcompleteness of diagonal Prikry forcing

Kaethe Minden

Let $D$ be an infinite discrete set of measurable cardinals. It is shown that generalized Prikry forcing to add a countable sequence to each cardinal in $D$ is subcomplete. To do t…

math.LO2017

Subcomplete forcing, trees and generic absoluteness

Gunter Fuchs, Kaethe Minden

We investigate properties of trees of height $ω_{1}$ and their preservation under subcomplete forcing. We show that subcomplete forcing cannot add a new branch to an $ω_{1}$ -tree. We i…

math.LO2017

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…

math.LO2017

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…