Displaying similar documents to “Potential isomorphism and semi-proper trees”

The Tree Property at ω₂ and Bounded Forcing Axioms

Sy-David Friedman, Víctor Torres-Pérez (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

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...

A tree axiom.

Kurepa, Đuro (1985)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

On the metamathematics of impredicative set theory

W. Marek

Similarity:

CONTENTSIntroduction....................................................................................... 50. Set theory M.................................................................................. 61. Reflection principles in M.......................................................... 122. The trees....................................................................................... 183. Ordinal trees. Constructibility in M........................................... 254....