Larger Cardinals in Cichon's Diagram
Brendle, Jorg
J. Symbolic Logic, Tome 56 (1991) no. 1, p. 795-810 / Harvested from Project Euclid
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We prove that in many situations it is consistent with ZFC that part of the invariants involved in Cichon's diagram are equal to $\kappa$ while the others are equal to $\lambda$, where $\kappa < \lambda$ are both arbitrary regular uncountable cardinals. We extend some of these results to the case when $\lambda$ is singular. We also show that $\mathrm{cf}(\kappa_U(\mathscr{L})) < \kappa_A(\mathscr{M})$ is consistent with ZFC.
Publié le : 1991-09-15
Classification:  
@article{1183743728,
     author = {Brendle, Jorg},
     title = {Larger Cardinals in Cichon's Diagram},
     journal = {J. Symbolic Logic},
     volume = {56},
     number = {1},
     year = {1991},
     pages = { 795-810},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183743728}
}

Brendle, Jorg. Larger Cardinals in Cichon's Diagram. J. Symbolic Logic, Tome 56 (1991) no. 1, pp.  795-810. http://gdmltest.u-ga.fr/item/1183743728/