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math.LO2021
Non-absoluteness of Hjorth's Cardinal Characterization
Philipp Lücke, Ioannis Souldatos
In [5], Hjorth proved that for every countable ordinal , there exists a complete -sentence that has models of all cardinalities less than or equal to…
math.LO2021
Huge Reflection
Joan Bagaria, Philipp Lücke
We study Structural Reflection beyond Vopěnka's Principle, at the level of almost-huge cardinals and higher, up to rank-into-rank embeddings. We identify and classify new large car…