Club guessing sequences and filters
Ishiu, Tetsuya
J. Symbolic Logic, Tome 70 (2005) no. 1, p. 1037-1071 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2005-12-14
Classification:  03E35,  03E55 
@article{1129642114,
     author = {Ishiu, Tetsuya},
     title = {Club guessing sequences and filters},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 1037-1071},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1129642114}
}

Ishiu, Tetsuya. Club guessing sequences and filters. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  1037-1071. http://gdmltest.u-ga.fr/item/1129642114/