We study local strengthenings of the simplicity condition. In particular, we define and study a local Lascar rank, as well as short, low, supershort and superlow theories. An example of a low, non supershort theory is given.
"Local supersimplicity and related concepts." J. Symbolic Logic 67 (2) 744 - 758, June 2002. https://doi.org/10.2178/jsl/1190150108