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Morley degree in unidimensional compact complex spaces

Published online by Cambridge University Press:  12 March 2014

Dale Radin
Dale Radin*
Affiliation:
Department of Mathematics, McMaster University, Hamilton, ON, L8S-4K1, Canada. E-mail: dradin@fields.utoronto.ca
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Abstract

Let be the category of all reduced compact complex spaces, viewed as a multi-sorted first order structure, in the standard way. Let be a sub-category of . which is closed under the taking of products and analytic subsets, and whose morphisms include the projections. Under the assumption that Th() is unidimensional. we show that Morley rank is equal to Noetherian dimension, in any elementary extension of . As a result, we are able to show that Morley degree is definable in Th(). when Th() is unidimensional.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 2 , June 2006 , pp. 569 - 585
Copyright
Copyright © Association for Symbolic Logic 2006

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