Journal of Symbolic Logic

A rank for the class of elementary submodels of a superstable homogeneous model

Tapani Hyttinen and Olivier Lessmann

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

J. Symbolic Logic, Volume 67, Issue 4 (2002), 1469-1482.

First available in Project Euclid: 18 September 2007

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03C45: Classification theory, stability and related concepts [See also 03C48]


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.

Export citation