A Baire-Type Theorem for Cardinals
Wolfsdorf, Kurt
J. Symbolic Logic, Tome 48 (1983) no. 1, p. 1082-1089 / Harvested from Project Euclid
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We shall prove the following theorem: If $\kappa$ is an infinite cardinal and $\Gamma: P(\kappa) \rightarrow \operatorname{cf} \kappa$ a partition of the power-set of $\kappa$ then we can find a homogeneous $\triangle$-system of size $\kappa$ such that the kernel of the $\triangle$-system is in the same partition class as all the members of the $\triangle$-system.
Publié le : 1983-12-14
Classification:  
@article{1183741416,
     author = {Wolfsdorf, Kurt},
     title = {A Baire-Type Theorem for Cardinals},
     journal = {J. Symbolic Logic},
     volume = {48},
     number = {1},
     year = {1983},
     pages = { 1082-1089},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741416}
}

Wolfsdorf, Kurt. A Baire-Type Theorem for Cardinals. J. Symbolic Logic, Tome 48 (1983) no. 1, pp.  1082-1089. http://gdmltest.u-ga.fr/item/1183741416/