Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 57, Issue 2 (1992), 501-514.
$\aleph_0$-Categorical Tree-Decomposable Structures
Our purpose in this note is to study countable $\aleph_0$-categorical structures whose theories are tree-decomposable in the sense of Baldwin and Shelah. The permutation group corresponding to such a structure can be decomposed in a canonical manner into simpler permutation groups in the same class. As an application of the analysis we show that these structures are finitely homogeneous.
J. Symbolic Logic, Volume 57, Issue 2 (1992), 501-514.
First available in Project Euclid: 6 July 2007
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Lachlan, A. H. $\aleph_0$-Categorical Tree-Decomposable Structures. J. Symbolic Logic 57 (1992), no. 2, 501--514. https://projecteuclid.org/euclid.jsl/1183743969