Omitting Types in Incomplete Theories
Casanovas, Enrique ; Farre, Rafel
J. Symbolic Logic, Tome 61 (1996) no. 1, p. 236-245 / Harvested from Project Euclid
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We characterize omissibility of a type, or a family of types, in a countable theory in terms of non-existence of a certain tree of formulas. We extend results of L. Newelski on omitting $< \operatorname{cov}K$ non-isolated types. As a consequence we prove that omissibility of a family of $< \operatorname{cov}K$ types is equivalent to omissibility of each countable subfamily.
Publié le : 1996-03-14
Classification:  
@article{1183744936,
     author = {Casanovas, Enrique and Farre, Rafel},
     title = {Omitting Types in Incomplete Theories},
     journal = {J. Symbolic Logic},
     volume = {61},
     number = {1},
     year = {1996},
     pages = { 236-245},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744936}
}

Casanovas, Enrique; Farre, Rafel. Omitting Types in Incomplete Theories. J. Symbolic Logic, Tome 61 (1996) no. 1, pp.  236-245. http://gdmltest.u-ga.fr/item/1183744936/