Abstract
We establish the consistency of the failure of the diamond principle on a cardinal κ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of κ in a Radin generic extension.
Original language | English |
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Article number | 1950002 |
Journal | Journal of Mathematical Logic |
Volume | 19 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jun 2019 |
Bibliographical note
Publisher Copyright:© 2019 World Scientific Publishing Company.
Keywords
- Diamond
- Radin forcing
- repeat point
- stationary reflection
- weakly compact cardinal