1 citations · 1 across the 3 of their papers we have counts for
4 papers
Selective Independence and -Perfect Tree Forcing Notions
Corey Bacal Switzer
Generalizing the proof for Sacks forcing, we show that the -perfect tree forcing notions introduced by Goldstern, Judah and Shelah preserve selective independent families even w…
The Structure of -Maximal Cofinitary Groups
Vera Fischer, Corey Bacal Switzer
We study -maximal cofinitary groups for regular uncountable, . Revisiting earlier work of Kastermans and building upon a recently obtained higher analogue of Bell…
Alternative Cichoń Diagrams and Forcing Axioms Compatible with CH
Corey Bacal Switzer
This dissertation surveys several topics in the general areas of iterated forcing, infinite combinatorics and set theory of the reals. There are two parts. In the first half I cons…
Specializing Wide Aronszajn Trees without Adding Reals
Corey Bacal Switzer
We show that under certain circumstances wide Aronszajn trees can be specialized iteratively without adding reals. We then use this fact to study forcing axioms compatible with CH…