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  1. Incomparable Vγ$V_\gamma$‐degrees.Teng Zhang - 2023 - Mathematical Logic Quarterly 69 (1):58-62.
    In [3], Shi proved that there exist incomparable Zermelo degrees at γ if there exists an ω‐sequence of measurable cardinals, whose limit is γ. He asked whether there is a size antichain of Zermelo degrees. We consider this question for the ‐degree structure. We use a kind of Prikry‐type forcing to show that if there is an ω‐sequence of measurable cardinals, then there are ‐many pairwise incomparable ‐degrees, where γ is the limit of the ω‐sequence of measurable cardinals.
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  • Applications of Fodor's lemma to Vaught's conjecture.Mark Howard - 1989 - Annals of Pure and Applied Logic 42 (1):1-19.
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