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  1. Indestructibility Properties of Remarkable Cardinals.Yong Cheng & Victoria Gitman - 2015 - Archive for Mathematical Logic 54 (7-8):961-984.
  • The HOD Hypothesis and a Supercompact Cardinal.Yong Cheng - 2017 - Mathematical Logic Quarterly 63 (5):462-472.
    In this paper, we prove that: if κ is supercompact and the math formula Hypothesis holds, then there is a proper class of regular cardinals in math formula which are measurable in math formula. Woodin also proved this result independently [11]. As a corollary, we prove Woodin's Local Universality Theorem. This work shows that under the assumption of the math formula Hypothesis and supercompact cardinals, large cardinals in math formula are reflected to be large cardinals in math formula in a (...)
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