4 citations · 9 across the 22 of their papers we have counts for
4 papers · 1 filter
Cohen Preservation and Independence
Vera Fischer, Corey Bacal Switzer
We provide a general preservation theorem for preserving selective independent families along countable support iterations. The theorem gives a general framework for a number of re…
Filters and Ideal Independence
Jonathan Cancino-Manríquez, Vera Fischer, Corey Bacal Switzer
A family such that for all finite and , the set $A \setminus \big…
The Special Tree Number
Corey Bacal Switzer
Define the special tree number, denoted , to be the least size of a tree of height which is neither special nor has a cofinal branch. This cardinal had previou…
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…