The Tree Property at $\omega _2$ and Bounded Forcing Axioms

DOI10.4064/ba8038-1-2016zbMath1336.03054OpenAlexW2495671403MaRDI QIDQ2787105

Víctor Torres-Pérez, Sy-David Friedman

Publication date: 24 February 2016

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8038-1-2016

zbMATH Keywords

tree propertyAronszajn treesspecial Aronszajn treesbounded proper forcing axiom (BPFA)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Generic absoluteness and forcing axioms (03E57)

Related Items (1)

Small \(\mathfrak{u}(\kappa )\) at singular \(\kappa\) with compactness at \(\kappa^{++}\)

Cites Work

• Bounded forcing axioms as principles of generic absoluteness
• Proper Forcing, Cardinal Arithmetic, and Uncountable Linear Orders
• Iterated perfect-set forcing
• The bounded proper forcing axiom
• Aronszajn trees and the independence of the transfer property
• The fine structure of the constructible hierarchy

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