Weakly Compact Cardinals and Nonspecial Aronszajn Trees

DOI10.2307/2046812zbMath0691.03032OpenAlexW4245527397MaRDI QIDQ3032246

Saharon Shelah, Lee J. Stanley

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046812

zbMATH Keywords

Aronszajn treeweakly compact cardinalnonspecial tree\(\omega\)-ascent path

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (15)

Square and delta reflection ⋮ Higher Souslin trees and the GCH, revisited ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ Two applications of finite side conditions at \(\omega _2\) ⋮ SPECIALISING TREES WITH SMALL APPROXIMATIONS I ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ A Forcing Axiom Deciding the Generalized Souslin Hypothesis ⋮ Souslin trees which are hard to specialise ⋮ Fresh subsets of ultrapowers ⋮ SQUARES, ASCENT PATHS, AND CHAIN CONDITIONS ⋮ \(\mu\)-complete Souslin trees on \(\mu^ +\) ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ Specializing trees and answer to a question of Williams ⋮ Square principles with tail-end agreement

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized Martin's axiom and Souslin's hypothesis for higher cardinals
• S-forcing. I: a black-box theorem for morasses, with applications to super-Souslin trees
• Corrigendum to ``Generalized Martin's axiom and Souslin's hypothesis for higher cardinals
• Partitioning pairs of countable ordinals
• Proper forcing
• The ℵ 2 \1-Souslin Hypothesis
• Reflecting stationary sets
• The fine structure of the constructible hierarchy

This page was built for publication: Weakly Compact Cardinals and Nonspecial Aronszajn Trees