THE CONSISTENCY STRENGTH OF THE PERFECT SET PROPERTY FOR UNIVERSALLY BAIRE SETS OF REALS
نویسندگان
چکیده
We show that the statement “every universally Baire set of reals has perfect property” is equiconsistent modulo ZFC with existence a cardinal we call virtually Shelah for supercompactness (VSS). These cardinals resemble and Shelah-for-supercompactness but are much weaker: if exists then every Silver indiscernible VSS in L. also , where pointclass all sets reals, -reflecting cardinal.
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ژورنال
عنوان ژورنال: Journal of Symbolic Logic
سال: 2022
ISSN: ['1943-5886', '0022-4812']
DOI: https://doi.org/10.1017/jsl.2019.63