On clublike principles on regular cardinals above $\beth_\omega$
Abstract
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 $\lambda=\lambda^{<\kappa}$.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2006
 arXiv:
 arXiv:math/0608638
 Bibcode:
 2006math......8638D
 Keywords:

 Mathematics  Logic
 EPrint:
 Acta Universitatis Carolinae Mathematica et Physica, vol. 42 no. 2, (2001), pg. 2732