Rudin's Dowker space in the extension with a Suslin tree

Teruyuki Yorioka

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A new construction of a Kurepa tree with no Aronszajn subtree

Keith Devlin (1983)

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Reduced powers of $ℵ_{2}$ -trees

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Note on a theorem of J. Baumgartner

Keith Devlin (1972)

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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...