AML
2005
13 years 10 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 10 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 11 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...