The Journal of Symbolic Logic

Research Article

Geometry of forking in simple theories

Assaf Peretz

Department of Mathematics, University of California, Berkeley, Berkeley, Ca 94720, USA. E-mail: assafp@math.berkeley.edu

Abstract

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

(Received December 27 2004)

(Accepted November 12 2005)