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  1. Generalisations of stationarity, closed and unboundedness, and of Jensen's □.H. Brickhill & P. D. Welch - 2023 - Annals of Pure and Applied Logic 174 (7):103272.
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  • Intermediate models of Magidor-Radin forcing-Part II.Tom Benhamou & Moti Gitik - 2022 - Annals of Pure and Applied Logic 173 (6):103107.
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  • Compactness and guessing principles in the Radin extensions.Omer Ben-Neria & Jing Zhang - 2023 - Journal of Mathematical Logic 23 (2).
    We investigate the interaction between compactness principles and guessing principles in the Radin forcing extensions. In particular, we show that in any Radin forcing extension with respect to a measure sequence on [Formula: see text], if [Formula: see text] is weakly compact, then [Formula: see text] holds. This provides contrast with a well-known theorem of Woodin, who showed that in a certain Radin extension over a suitably prepared ground model relative to the existence of large cardinals, the diamond principle fails (...)
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