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

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

2006-08-25

arxiv.org/abs/math/0608638v1

Acta Universitatis Carolinae Mathematica et Physica, vol. 42 no. 2, (2001), pg. 27-32

Mathematics

Logic

Scientific paper

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

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