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Geometry of forking in simple theories. (English) Zbl 1100.03026

Summary: We investigate the geometry of forking for SU-rank 2 elements in supersimple \(\omega\)-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case SU-rank 3 elements.

MSC:

03C45 Classification theory, stability, and related concepts in model theory
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References:

[1] Simple theories (2000)
[2] Annals of Pure and Applied Logic 19 pp 177– (1980)
[3] Simplicity, and stability in there 66 pp 822– (2001)
[4] DOI: 10.4064/fm170-1-6 · Zbl 0987.03034 · doi:10.4064/fm170-1-6
[5] DOI: 10.1016/S0168-0072(97)00019-5 · Zbl 0897.03036 · doi:10.1016/S0168-0072(97)00019-5
[6] Classification theory (1978)
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