Cardinal Preserving Ideals
Gitik, Moti ; Shelah, Saharon
J. Symbolic Logic, Tome 64 (1999) no. 1, p. 1527-1551 / Harvested from Project Euclid
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We give some general criteria, when $\kappa$-complete forcing preserves largeness properties-like $\kappa$-presaturation of normal ideals on $\lambda$ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength "NS$_\lambda$ is $\aleph_1$-preserving". for $\lambda$ > $\aleph_2$.
Publié le : 1999-12-14
Classification:  
@article{1183745935,
     author = {Gitik, Moti and Shelah, Saharon},
     title = {Cardinal Preserving Ideals},
     journal = {J. Symbolic Logic},
     volume = {64},
     number = {1},
     year = {1999},
     pages = { 1527-1551},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745935}
}

Gitik, Moti; Shelah, Saharon. Cardinal Preserving Ideals. J. Symbolic Logic, Tome 64 (1999) no. 1, pp.  1527-1551. http://gdmltest.u-ga.fr/item/1183745935/