Using Magidor iterations of Prikry forcings, the work characterizes ultrafilter sums after forcing and separates weak UA from UA while constructing non-rigid ultrapowers and matching ultrafilters on distinct cardinals.
1351–1447, Springer Netherlands, Dordrecht, (2010)
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Applications of the Magidor Iteration to Ultrafilter Theory
Using Magidor iterations of Prikry forcings, the work characterizes ultrafilter sums after forcing and separates weak UA from UA while constructing non-rigid ultrapowers and matching ultrafilters on distinct cardinals.