| Authors: | Tanović, Predrag | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Types directed by constants | Journal: | Annals of Pure and Applied Logic | Volume: | 161 | Issue: | 7 | First page: | 944 | Last page: | 955 | Issue Date: | 1-Apr-2010 | Rank: | M22 | ISSN: | 0168-0072 | DOI: | 10.1016/j.apal.2009.12.002 | Abstract: | Let T be a complete, countable, first-order theory having infinite models. We introduce types directed by constants, and prove that their presence in a model of T guaranties the maximal number of non-isomorphic countable models : I (א0, T) = 2א 0 |
Keywords: | Model theory | Ordered structure | Semi-isolation | Small theory | Publisher: | Elsevier |
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