We outline the proof of the consistency that there exists a saturated tail club guessing ideal on ω₁ which is not a restriction of the nonstationary ideal. A new class of forcing notions and the forcing axiom for the class are introduced for this purpose.
Publié le : 2005-07-14
Classification:
club guessing,
saturated,
forcing axiom,
03E35,
03E55
@article{1125409331,
author = {Ishiu, Tetsuya},
title = {A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal},
journal = {Notre Dame J. Formal Logic},
volume = {46},
number = {3},
year = {2005},
pages = { 327-333},
language = {en},
url = {http://dml.mathdoc.fr/item/1125409331}
}
Ishiu, Tetsuya. A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal. Notre Dame J. Formal Logic, Tome 46 (2005) no. 3, pp. 327-333. http://gdmltest.u-ga.fr/item/1125409331/