A characterization of lifting generics for Sacks-like forcings
Radek Honzík (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Continuous tree-like scales”
A characterization of lifting generics for Sacks-like forcings
Kurepa's hypothesis and the continuum
Keith Devlin (1975)
Fundamenta Mathematicae
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Collapsing algebras and Suslin trees
Adam Figura (1981)
Fundamenta Mathematicae
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Forcing when there are large cardinals: An introduction
Sy-David Friedman (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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Forcings which preserve large cardinals
Sy-David Friedman (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Ramification hypothesis again.
Kurepa, Đuro (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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The Tree Property at ω₂ and Bounded Forcing Axioms
Sy-David Friedman, Víctor Torres-Pérez (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove that the Tree Property at ω₂ together with BPFA is equiconsistent with the existence of a weakly compact reflecting cardinal, and if BPFA is replaced by BPFA(ω₁) then it is equiconsistent with the existence of just a weakly compact cardinal. Similarly, we show that the Special Tree Property for ω₂ together with BPFA is equiconsistent with the existence of a reflecting Mahlo cardinal, and if BPFA is replaced by BPFA(ω₁) then it is equiconsistent with the existence of just a Mahlo...