Bounded dagger principles

descriptionPublicationkeyboard_double_arrow_right Article 19 Jul 2014 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 60, pages 266-272 (issn: 0942-5616, eissn: 1521-3870,

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Authors: Toshimichi Usuba;

doi: 10.1002/malq.201300019

Bounded dagger principles

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Abstract

For an uncountable cardinal κ, let be the assertion that every ω1‐stationary preserving poset of size is semiproper. We prove that is a strong principle which implies a strong form of Chang's conjecture. We also show that implies that is presaturated.

Related Organizations

Kobe University
Japan

Keywords

Large cardinals, Other aspects of forcing and Boolean-valued models, Consistency and independence results

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