Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 67, Issue 4 (2002), 1469-1482.
A rank for the class of elementary submodels of a superstable homogeneous model
We study the class of elementary submodels of a large superstable homogeneous model. We introduce a rank which is bounded in the superstable case, and use it to define a dependence relation which shares many (but not all) of the properties of forking in the first order case. The main difference is that we do not have extension over all sets. We also present an example of Shelah showing that extension over all sets may not hold for any dependence relation for superstable homogeneous models.
J. Symbolic Logic, Volume 67, Issue 4 (2002), 1469-1482.
First available in Project Euclid: 18 September 2007
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Hyttinen, Tapani; Lessmann, Olivier. A rank for the class of elementary submodels of a superstable homogeneous model. J. Symbolic Logic 67 (2002), no. 4, 1469--1482. doi:10.2178/jsl/1190150294. https://projecteuclid.org/euclid.jsl/1190150294