JSYML
2010
12 years 11 months ago
2010
We determine exact consistency strengths for various failures of the Singular Cardinals Hypothesis (SCH) in the setting of the Zermelo-Fraenkel axiom system ZF without the Axiom o...
BSL
2011
12 years 11 months ago
2011
show that an abstract analysis of one of these three set theoretic principles can sometimes lead us to results that do not require additional axioms at all but which could have bee...
APAL
2006
13 years 4 months ago
2006
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form ...