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» Equiconsistencies at subcompact cardinals
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JSYML
2008
78views more  JSYML 2008»
13 years 10 months ago
Hierarchies of forcing axioms I
Abstract. We prove new upper bound theorems on the consistency strengths of SPFA(), SPFA(-linked) and SPFA(+ -cc). Our results are in terms of (, )-subcompactness, which is a new l...
Itay Neeman, Ernest Schimmerling
JSYML
2010
68views more  JSYML 2010»
13 years 9 months ago
An equiconsistency for universal indestructibility
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woo...
Arthur W. Apter, Grigor Sargsyan