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math.LO2021
Compactness and Guessing Principles in the Radin Extensions
Omer Ben-Neria, Jing Zhang
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 wi…
math.LO2021
Approachable Free Subsets and Fine Structure Derived Scales
Dominik Adolf, Omer Ben-Neria
Shelah showed that the existence of free subsets over internally approachable subalgebras follows from the failure of the PCF conjecture on intervals of regular cardinals. We show…
math.LO2021
Club Stationary Reflection and the Special Aronszajn Tree Property
Omer Ben-Neria, Thomas Gilton
We prove that it is consistent that Club Stationary Reflection and the Special Aronszajn Tree Property simultaneously hold on , thereby contributing to the study of the tensio…