Souslin trees which are hard to specialise

DOI10.1090/S0002-9939-97-03796-9zbMath0880.03023OpenAlexW1530131445MaRDI QIDQ4372290

James Cummings

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03796-9

zbMATH Keywords

forcingsquaressingular cardinalregular cardinaldiamondsSouslin treesascent pathsspecializing trees

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (10)

Higher Souslin trees and the GCH, revisited ⋮ A microscopic approach to Souslin-tree construction. II ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ Two applications of finite side conditions at \(\omega _2\) ⋮ SPECIALISING TREES WITH SMALL APPROXIMATIONS I ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ SQUARES, ASCENT PATHS, AND CHAIN CONDITIONS ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ Laver and set theory ⋮ Specializing trees and answer to a question of Williams

Cites Work

• Weakly Compact Cardinals and Nonspecial Aronszajn Trees
• Reduced powers of $ℵ_2$-trees
• Embedding Trees in the Rationals
• Unnamed Item
• Unnamed Item

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