## Journal of Symbolic Logic

### $\aleph_0$-Categorical Tree-Decomposable Structures

A. H. Lachlan

#### Abstract

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.

#### Article information

Source
J. Symbolic Logic, Volume 57, Issue 2 (1992), 501-514.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183743969

Mathematical Reviews number (MathSciNet)
MR1169186

Zentralblatt MATH identifier
0765.03017

JSTOR
Lachlan, A. H. $\aleph_0$-Categorical Tree-Decomposable Structures. J. Symbolic Logic 57 (1992), no. 2, 501--514. https://projecteuclid.org/euclid.jsl/1183743969