ℵ0-categorical structures with a predimension

Annals of Pure and Applied Logic 116 (1-3):157-186 (2002)
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Abstract

We give an axiomatic framework for the non-modular simple 0-categorical structures constructed by Hrushovski. This allows us to verify some of their properties in a uniform way, and to show that these properties are preserved by iterations of the construction

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10.1016/s0168-0072(01)00109-9

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Citations of this work

An axiomatic approach to free amalgamation.Gabriel Conant - 2017 - Journal of Symbolic Logic 82 (2):648-671.
Conant-independence and generalized free amalgamation.Scott Mutchnik - 2026 - Journal of Mathematical Logic 26 (1).
Some Remarks on Generic Structures.David M. Evans & Mark Wing Ho Wong - 2009 - Journal of Symbolic Logic 74 (4):1143-1154.

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References found in this work

Simple theories.Byunghan Kim & Anand Pillay - 1997 - Annals of Pure and Applied Logic 88 (2-3):149-164.
A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
Stable generic structures.John T. Baldwin & Niandong Shi - 1996 - Annals of Pure and Applied Logic 79 (1):1-35.
A note on CM-Triviality and the geometry of forking.Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):474-480.
A free pseudospace.Andreas Baudisch & Anand Pillay - 2000 - Journal of Symbolic Logic 65 (1):443-460.

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