Article contents
On two hierarchies of dimensions
Published online by Cambridge University Press: 12 March 2014
Abstract
Let T be a countable, complete, ω-stable, nonmultidimensional theory. By Lascar [7], in Teq there is in every dimension of T a type with Lascar rank ωα for some α. We give sufficient conditions for α to coincide with the level of that dimension in Pillay's [10] RK-hierarchy of dimensions computed in Teq. In particular, this is fulfilled for modules.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 1987
References
REFERENCES
- 1
- Cited by