2 papers
math.LO2002
On iterated forcing at successors of regular cardinals
Todd Eisworth
We investigate the problem of when --support iterations of --complete notions of forcing preserve . We isolate a property -- {\em properness over diamonds} -- that…
math.LO1998
Gently Killing S--spaces
Todd Eisworth, Peter Nyikos, Saharon Shelah
We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2^{aleph_0}<2^{aleph_1}. A consequence of this is that in this model there ar…