Countable structures of given age

Dugald Macpherson, Maurice Pouzet, Robert E. Woodrow · Journal of Symbolic Logic · 1992

Abstract Let L be a finite relational language. The age of a structure over L is the set of isomorphism types of finite substructures of . We classify those ages for which there are less than 2ω countably infinite pairwise nonisomorphic L-structures of age .

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