Fat sets and saturated ideals
Krueger, John
J. Symbolic Logic, Tome 68 (2003) no. 1, p. 837- 845 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We strengthen a theorem of Gitik and Shelah [GS] by showing that if κ is either weakly inaccessible or the successor of a singular cardinal and S is a stationary subset of κ such that NSκ ↾ S is saturated then κ ∖ S is fat. Using this theorem we derive some results about the existence of fat stationary sets. We then strengthen some results due to Baumgartner and Taylor [BT], showing in particular that if I is a λ+++-saturated normal ideal on Pκ λ then the conditions of being λ+-preserving, weakly presaturated, and presaturated are equivalent for I.
Publié le : 2003-09-14
Classification:  
@article{1058448442,
     author = {Krueger, John},
     title = {Fat sets and saturated ideals},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 837- 845},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1058448442}
}

Krueger, John. Fat sets and saturated ideals. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  837- 845. http://gdmltest.u-ga.fr/item/1058448442/