19 search results - page 1 / 4 » on the singular cardinals |
ORDER
2002
13 years 5 months ago
2002
We show that: (1) For many regular cardinals (in particular, for all successors of singular strong limit cardinals, and for all successors of singular -limits), for all n {2, 3, ...
JSYML
2006
13 years 5 months ago
2006
We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].
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...
AML
2008
13 years 5 months ago
2008
Answering a question of Pereira we show that it is possible to have a model violating the Singular Cardinal Hypothesis without a tree-like continuous scale.
APAL
2010
13 years 5 months ago
2010
We say that is