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math.LO2024
The Baire and perfect set properties at singulars cardinals
Vincenzo Dimonte, Alejandro Poveda, Sebastiano Thei
We construct a model of ZFC with a singular cardinal such that every subset of in has both the -Perfect Set Property and the -Baire Prope…
math.LO2024
Axiom and supercompactness
Alejandro Poveda
We produce a model where every supercompact cardinal is -supercompact with inaccessible targets. This is a significant improvement of the main identity-crises configuratio…