Club Guessing Sequences and Filters
Journal of Symbolic Logic 70 (4):1037 - 1071 (2005)
| Abstract | 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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