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Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields

Published online by Cambridge University Press:  12 March 2014

Y. Firat Çelikler
Y. Firat Çelikler*
Affiliation:
Mathematics Department, Purdue University, West Lafayette, Indiana 47907, USA, E-mail: ycelikle@math.purdue.edu
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Abstract

We develop a dimension theory for D-semianalytic sets over an arbitrary non-Arehimedean eomplete field. Our main results are the equivalence of several notions of dimension and a theorem on additivity of dimensions of projections and fibers in characteristic 0. We also prove a parameterized version of normalization for D-semianalytic sets.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 2 , June 2005 , pp. 593 - 618
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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