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On two hierarchies of dimensions

Published online by Cambridge University Press:  12 March 2014

Andreas Baudisch
Andreas Baudisch*
Affiliation:
Akademie der Wissenschaften Der DDR, 1086 Berlin, German Democratic Republic
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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
The Journal of Symbolic Logic , Volume 52 , Issue 4 , December 1987 , pp. 959 - 968
Copyright
Copyright © Association for Symbolic Logic 1987

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References

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