Ideals Over $\omega$ and Cardinal Invariants of the Continuum

Matet, P.; Pawlikowski, J.

J. Symbolic Logic, Tome 63 (1998) no. 1, p. 1040-1054 / Harvested from Project Euclid

Résumé

Let P be any one of the following combinatorial properties: weak P-pointness, weak (semi-) Q-pointness, weak (semi-)selectivity, $\omega$-closedness. We deal with the following two questions: (1) What is the least cardinal $\kappa$ such that there exists an ideal with $\kappa$ many generators that does not have the property P? (2) Can one extend every ideal with the property P to a prime ideal with the property P?

Publié le : 1998-09-14
Classification:

@article{1183745579,
     author = {Matet, P. and Pawlikowski, J.},
     title = {Ideals Over $\omega$ and Cardinal Invariants of the Continuum},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 1040-1054},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745579}
}

Matet, P.; Pawlikowski, J. Ideals Over $\omega$ and Cardinal Invariants of the Continuum. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  1040-1054. http://gdmltest.u-ga.fr/item/1183745579/