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Countable structures of given age
Journal of Symbolic Logic 57 (3):992-1010 (1992)
Abstract
Let L be a finite relational language. The age of a structure M over L is the set of isomorphism types of finite substructures of M. We classify those ages U for which there are less than 2ω countably infinite pairwise nonisomorphic L-structures of age UOther Versions
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Citations of this work
Counting Siblings in Universal Theories.Samuel Braunfeld & Michael C. Laskowski - 2022 - Journal of Symbolic Logic 87 (3):1130-1155.
Mutual algebraicity and cellularity.Samuel Braunfeld & Michael C. Laskowski - 2022 - Archive for Mathematical Logic 61 (5):841-857.
References found in this work
Classification Theory and the Number of Nonisomorphic Models.S. Shelah - 1982 - Journal of Symbolic Logic 47 (3):694-696.
Application de la Notion de Relation Presque‐Enchainable au Denombrement des Restrictions Finies D'une Relation.Maurice Pouzet - 1981 - Mathematical Logic Quarterly 27 (19-21):289-332.
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