Countable Unions of Simple Sets in the Core Model
Welch, P. D.
J. Symbolic Logic, Tome 61 (1996) no. 1, p. 293-312 / Harvested from Project Euclid
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We follow [8] in asking when a set of ordinals $X \subseteq \alpha$ is a countable union of sets in $K$, the core model. We show that, analogously to $L$, and $X$ closed under the canonical $\Sigma_1$ Skolem function for $K_\alpha$ can be so decomposed provided $K$ is such that no $\omega$-closed filters are put on its measure sequence, but not otherwise. This proviso holds if there is no inner model of a weak Erdos-type property.
Publié le : 1996-03-14
Classification:  
@article{1183744941,
     author = {Welch, P. D.},
     title = {Countable Unions of Simple Sets in the Core Model},
     journal = {J. Symbolic Logic},
     volume = {61},
     number = {1},
     year = {1996},
     pages = { 293-312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744941}
}

Welch, P. D. Countable Unions of Simple Sets in the Core Model. J. Symbolic Logic, Tome 61 (1996) no. 1, pp.  293-312. http://gdmltest.u-ga.fr/item/1183744941/