Advances in MathematicsVolume 324, 14 January 2018, Pages 355-393L(R,μ) is uniqueAuthor links open overlay panelDaniel Rodríguez a, Nam Trang bShow moreShareCitehttps://doi.org/10.1016/j.aim.2017.11.010Get rights and contentUnder an Elsevier user licenseopen archiveAbstractUnder various appropriate hypotheses it is shown that there is only one determinacy model of the form L(R,μ) in which μ is a supercompact measure on Pω1(R). In particular, this gives a positive answer to a question asked by W.H. Woodin in 1983.Previous article in issueNext article in issueKeywordsSet theoryInner model theoryDeterminacyHOD analysisSupercompact cardinalsDescriptive set theoryRecommended articlesCited by (0)© 2017 Elsevier Inc.