Splitting $P_\kappa\lambda$ into Stationary Subsets
Matsubara, Yo
J. Symbolic Logic, Tome 53 (1988) no. 1, p. 385-389 / Harvested from Project Euclid
We show that if $\kappa$ is an inaccessible cardinal then $P_\kappa\lambda$ splits into $\lambda^{<\kappa}$ many disjoint stationary subsets. We also show that if $P_\kappa\lambda$ carries a strongly saturated ideal then the nonstationary ideal cannot be $\lambda^+$-saturated.
Publié le : 1988-06-14
Classification: 
@article{1183742628,
     author = {Matsubara, Yo},
     title = {Splitting $P\_\kappa\lambda$ into Stationary Subsets},
     journal = {J. Symbolic Logic},
     volume = {53},
     number = {1},
     year = {1988},
     pages = { 385-389},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742628}
}
Matsubara, Yo. Splitting $P_\kappa\lambda$ into Stationary Subsets. J. Symbolic Logic, Tome 53 (1988) no. 1, pp.  385-389. http://gdmltest.u-ga.fr/item/1183742628/