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LOCALLY CONSTANT FUNCTIONS IN C-MINIMAL STRUCTURES

Published online by Cambridge University Press:  13 March 2015

PABLO CUBIDES KOVACSICS
PABLO CUBIDES KOVACSICS*
Affiliation:
ÉQUIPE DE LOGIQUE MATHÉMATIQUE, INSTITUT DE MATHÉMATIQUES DE JUSSIEU - PARIS RIVE GAUCHE, FRANCE
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Abstract

Let M be a C-minimal structure and T its canonical tree (which corresponds in an ultrametric space to the set of closed balls with radius different than ∞ ordered by inclusion). We present a description of definable locally constant functions f : M → T in C-minimal structures having a canonical tree with infinitely many branches at each node and densely ordered branches. This provides both a description of definable subsets of T in one variable and analogues of known results in algebraically closed valued fields.

Keywords

C-minimalityalgebraically closed valued fieldsmodel theory
Type
Articles
Information
The Journal of Symbolic Logic , Volume 80 , Issue 1 , March 2015 , pp. 207 - 220
Copyright
Copyright © The Association for Symbolic Logic 2015 

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References

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