Some Two-Cardinal Results for O-Minimal Theories
Bays, Timothy
J. Symbolic Logic, Tome 63 (1998) no. 1, p. 543-548 / Harvested from Project Euclid
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We examine two-cardinal problems for the class of O-minimal theories. We prove that an O-minimal theory which admits some ($\kappa,\lambda$) must admit every ($\kappa',\lambda'$). We also prove that every "reasonable" variant of Chang's Conjecture is true for O-minimal structures. Finally, we generalize these results from the two-cardinal case to the $\delta$-cardinal case for arbitrary ordinals $\delta$.
Publié le : 1998-06-14
Classification:  
@article{1183745517,
     author = {Bays, Timothy},
     title = {Some Two-Cardinal Results for O-Minimal Theories},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 543-548},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745517}
}

Bays, Timothy. Some Two-Cardinal Results for O-Minimal Theories. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  543-548. http://gdmltest.u-ga.fr/item/1183745517/