$\aleph_0$-categorical structures with a predimension

David M. Evans

doi:10.1016/S0168-0072(01)00109-9

$\aleph_0$-categorical structures with a predimension

David M. Evans

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16 Citations (Scopus)

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Abstract

We give an axiomatic framework for the non-modular simple $\aleph_0$-categorical structures constructed by Hrushovski. This allows us to verify some of their properties (weak elimination of imaginaries, simplicity, the nature of forking, CM-triviality and stable forking) in a uniform way, and to show that these properties are preserved by iterations of the construction.

Original language	English
Pages (from-to)	157-186
Number of pages	30
Journal	Annals of Pure and Applied Logic
Volume	116
Issue number	1-3
DOIs	https://doi.org/10.1016/S0168-0072(01)00109-9
Publication status	Published - 2002

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Cite this

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