## Journal of Symbolic Logic

### Countable Structures of Given Age

#### Abstract

Let $L$ be a finite relational language. The age of a structure $\mathfrak{M}$ over $L$ is the set of isomorphism types of finite substructures of $\mathfrak{M}$. We classify those ages $\mathfrak{U}$ for which there are less than $2^\omega$ countably infinite pairwise nonisomorphic $L$-structures of age $\mathfrak{U}$.

#### Article information

Source
J. Symbolic Logic, Volume 57, Issue 3 (1992), 992-1010.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183744054

Mathematical Reviews number (MathSciNet)
MR1187462

Zentralblatt MATH identifier
0764.03011

JSTOR