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The Morley rank of a Banach space

Published online by Cambridge University Press:  12 March 2014

José Iovino*
Affiliation:
Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA 15213, USA, E-mail: iovino+@andrew.cmu.edu

Abstract

We introduce the concepts of Morley rank and Morley degree for structures based on Banach spaces. We characterize ω-stability in terms of Morley rank, and prove the existence of prime models for ω-stable theories.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1996

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References

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