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An inner model theoretic proof of Becker’s theorem
Archive for Mathematical Logic 58 (7-8):999-1003 (2019)
Abstract
We re-prove Becker’s theorem from Becker :229–234, 1981) by showing that \}\) implies that \\vDash ``\omega _2\) is -supercompact”. Our proof uses inner model theoretic tools instead of Baire category. We also show that \ is \-strongly compact.My notes
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References found in this work
$$AD_{mathbb {R}}$$ A D R implies that all sets of reals are $$Theta $$ Θ universally Baire.Grigor Sargsyan - 2020 - Archive for Mathematical Logic 60 (1-2):1-15.
Supercompactness within the Projective Hierarchy.Howard Becker & Steve Jackson - 2001 - Journal of Symbolic Logic 66 (2):658-672.
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