Suslin cardinals and cutpoints in mouse limits

Stephan Jackson; Grigor Sargsyan; John Steel

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arXiv · 2207.04042

Suslin cardinals and cutpoints in mouse limits

Stephan Jackson·Grigor Sargsyan·John Steel

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Abstract

We obtain a partial result on the following conjecture. Conjecture. Let (P, {\Sigma}) be a projectum stable mouse pair, and let \kappa be a cardinal of V such that \kappa < o(M_\infty(P, {\Sigma})); then the following are equivalent: (1) \kappa is a Suslin cardinal, (2) \kappa is a cutpoint of M_\infty(P, {\Sigma}).

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BibTeX RIS

Stephan Jackson, Grigor Sargsyan, John Steel. 2022-07-08. Suslin cardinals and cutpoints in mouse limits. https://arxiv.org/abs/2207.04042

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