Abstract
We prove that every homogeneously Souslin set is coanalytic provided that either (a) 0long does not exist, or else (b) V = K, where K is the core model below a μ-measurable cardinal.
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Koepke, P., Schindler, R. Homogeneously Souslin sets in small inner models. Arch. Math. Logic 45, 53–61 (2006). https://doi.org/10.1007/s00153-005-0301-3
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DOI: https://doi.org/10.1007/s00153-005-0301-3