On the Number of Minimal Models
Shelah, Saharon
J. Symbolic Logic, Tome 43 (1978) no. 1, p. 475-480 / Harvested from Project Euclid
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Answering a problem of Fuhrken we prove that for every $\kappa, 1 \leq \kappa \leq \aleph_0$, there is a (countable) complete theory $T$, with no prime model, and exactly $\kappa$ minimal models (up to isomorphism).
Publié le : 1978-09-14
Classification:  
@article{1183740251,
     author = {Shelah, Saharon},
     title = {On the Number of Minimal Models},
     journal = {J. Symbolic Logic},
     volume = {43},
     number = {1},
     year = {1978},
     pages = { 475-480},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183740251}
}

Shelah, Saharon. On the Number of Minimal Models. J. Symbolic Logic, Tome 43 (1978) no. 1, pp.  475-480. http://gdmltest.u-ga.fr/item/1183740251/