Club guessing sequences and filters

Journal of Symbolic Logic 70 (4):1037-1071 (2005)
We investigate club guessing sequences and filters. We prove that assuming V=L, there exists a strong club guessing sequence on μ if and only if μ is not ineffable for every uncountable regular cardinal μ. We also prove that for every uncountable regular cardinal μ, relative to the existence of a Woodin cardinal above μ, it is consistent that every tail club guessing ideal on μ is precipitous
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DOI 10.2307/27588413
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Tetsuya Ishiu (2006). The Saturation of Club Guessing Ideals. Annals of Pure and Applied Logic 142 (1):398-424.
Tetsuya Ishiu (2015). The Comparison of Various Club Guessing Principles. Annals of Pure and Applied Logic 166 (5):583-600.

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