Chang’s Conjecture and weak square

Archive for Mathematical Logic 52 (1-2):29-45 (2013)

Abstract
We investigate how weak square principles are denied by Chang’s Conjecture and its generalizations. Among other things we prove that Chang’s Conjecture does not imply the failure of ${\square_{\omega_1, 2}}$ , i.e. Chang’s Conjecture is consistent with ${\square_{\omega_1, 2}}$
Keywords Chang’s Conjecture  Square principle  Large cardinal  Consistency
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DOI 10.1007/s00153-012-0305-8
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References found in this work BETA

The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Pure and Applied Logic 4 (3):229.
Combinatorial Principles in the Core Model for One Woodin Cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
Reflecting Stationary Sets.Menachem Magidor - 1982 - Journal of Symbolic Logic 47 (4):755-771.

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Citations of this work BETA

Aronszajn Trees, Square Principles, and Stationary Reflection.Chris Lambie-Hanson - 2017 - Mathematical Logic Quarterly 63 (3-4):265-281.
Two Applications of Finite Side Conditions at Omega _2.Itay Neeman - 2017 - Archive for Mathematical Logic 56 (7-8):983-1036.
The ⁎-Variation of the Banach–Mazur Game and Forcing Axioms.Yasuo Yoshinobu - 2017 - Annals of Pure and Applied Logic 168 (6):1335-1359.

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