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ℵ0-categorical tree-decomposable structures

Published online by Cambridge University Press:  12 March 2014

A. H. Lachlan
A. H. Lachlan*
Affiliation:
Mathematics Department, Simon Fraser University, Burnaby, British Columbia V5A IS6, Canada
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Abstract

Our purpose in this note is to study countable ℵ0-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.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 2 , June 1992 , pp. 501 - 514
Copyright
Copyright © Association for Symbolic Logic 1992

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References

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