AML
2005
13 years 4 months ago
2005
In this paper, we investigate the extent to which techniques used in [10], [2], and [3] -- developed to prove coloring theorems at successors of singular cardinals of uncountable c...
JSYML
2008
13 years 4 months ago
2008
We show that many singular cardinals above a strongly compact cardinal have regular ultrafilters D that violate the finite square principle fin ,D introduced in [3]. For such ult...
APAL
2010
13 years 5 months ago
2010
We obtain very strong coloring theorems at successors of singular cardinals from failures of certain instances of simultaneous reflection of stationary sets. In particular, the sim...