Changing Cardinal Invariants of the Reals without Changing Cardinals or the Reals

Mildenberger, Heike

J. Symbolic Logic, Tome 63 (1998) no. 1, p. 593-599 / Harvested from Project Euclid

Résumé

We show: The procedure mentioned in the title is often impossible. It requires at least an inner model with a measurable cardinal. The consistency strength of changing $\mathfrak{b}$ and $\mathfrak{d}$ from a regular $\kappa$ to some regular $\delta$ < $\kappa$ is a measurable of Mitchell order $\delta$. There is an application to Cichon's diagram.

Publié le : 1998-06-14
Classification:

@article{1183745523,
     author = {Mildenberger, Heike},
     title = {Changing Cardinal Invariants of the Reals without Changing Cardinals or the Reals},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 593-599},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745523}
}

Mildenberger, Heike. Changing Cardinal Invariants of the Reals without Changing Cardinals or the Reals. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  593-599. http://gdmltest.u-ga.fr/item/1183745523/