Weak Definability in Infinitary Languages
Shelah, Saharon
J. Symbolic Logic, Tome 38 (1973) no. 1, p. 399-404 / Harvested from Project Euclid
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We shall prove that if a model of cardinality $\kappa$ can be expanded to a model of a sentence $\psi$ of $L_{\lambda^+,\omega}$ by adding a suitable predicate in more than $\kappa$ ways, then, it has a submodel of power $\mu$ which can be expanded to a model of $\psi$ in $> \mu$ ways provided that $\lambda,\kappa,\mu$ satisfy suitable conditions.
Publié le : 1973-12-14
Classification:  
@article{1183738749,
     author = {Shelah, Saharon},
     title = {Weak Definability in Infinitary Languages},
     journal = {J. Symbolic Logic},
     volume = {38},
     number = {1},
     year = {1973},
     pages = { 399-404},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183738749}
}

Shelah, Saharon. Weak Definability in Infinitary Languages. J. Symbolic Logic, Tome 38 (1973) no. 1, pp.  399-404. http://gdmltest.u-ga.fr/item/1183738749/