| Authors: | Tanović, Predrag | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Minimal first-order structures | Journal: | Annals of Pure and Applied Logic | Volume: | 162 | Issue: | 11 | First page: | 948 | Last page: | 957 | Issue Date: | 1-Nov-2011 | Rank: | M22 | ISSN: | 0168-0072 | DOI: | 10.1016/j.apal.2011.05.001 | Abstract: | We prove a dichotomy theorem for minimal structures and use it to prove that the number of non-isomorphic countable elementary extensions of an arbitrary countable, infinite first-order structure is infinite. |
Keywords: | Minimal structure | Model theory | Pregeometry | Semi-isolation | Publisher: | Elsevier |
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