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On club-like principles on regular cardinals above $\beth_ω$

Mirna Džamonja
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Abstract

We prove that for regular $λ$ above a strong limit singular $μ$ certain guessing principles follow just from cardinal arithmetic assumptions. The main result is that for such $λ$ and $μ$ there are coboundedly many regular $κ<μ$ such that $\clubsuit^-(S^λ_κ)$ holds whenever $λ=λ^{<κ}$.

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Mirna Džamonja. 2006-08-25. On club-like principles on regular cardinals above $\beth_ω$. https://arxiv.org/abs/math/0608638

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