Abstract
I analyze various natural assumptions which imply that the set \({\{\omega_1^{L[x]} \mid x \subseteq \omega\}}\) is stationary in ω 1. The focal questions are which implications hold between them, what their consistency strengths are, and which large cardinal assumptions outright imply them.
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Fuchs, G. The stationarity of the collection of the locally regulars. Arch. Math. Logic 54, 725–739 (2015). https://doi.org/10.1007/s00153-015-0437-8
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DOI: https://doi.org/10.1007/s00153-015-0437-8