$aleph_0$-Categorical Tree-Decomposable Structures

Journal of Symbolic Logic 57 (2):501-514 (1992)
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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

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10.2307/2275284

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Classification of -Categorical Monadically Stable Structures.Bertalan Bodor - 2024 - Journal of Symbolic Logic 89 (2):460-495.

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