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A P-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS

Published online by Cambridge University Press:  15 May 2017

PABLO CUBIDES KOVACSICS  and
KIEN HUU NGUYEN
PABLO CUBIDES KOVACSICS
Affiliation:
LABORATOIRE DE MATHÉMATIQUES NICOLAS ORESME UNIVERSITÉ DE CAEN CNRS UMR 6139 UNIVERSITÉ DE CAEN BP 5186 14032 CAEN CEDEX FRANCE E-mail: [email protected]
KIEN HUU NGUYEN
Affiliation:
LABORATOIRE PAUL PAINLEVÉ UNIVERSITÉ DE LILLE 1 CNRS U.M.R. 8524 59655 VILLENEUVE D’ASCQ CEDEX FRANCE and DEPARTMENT OF MATHEMATICS HANOI NATIONAL UNIVERSITY OF EDUCATION 136 XUANTHUY STR., CAU GIAY HANOI VIETNAM E-mail: [email protected]
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Abstract

We show there are intermediate P-minimal structures between the semialgebraic and subanalytic languages which do not have definable Skolem functions. As a consequence, by a result of Mourgues, this shows there are P-minimal structures which do not admit classical cell decomposition.

Keywords

12J1203C9912J25P-minimalitySkolem functionsp-adically closed fieldscell decompositioncell preparation
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 2 , June 2017 , pp. 778 - 786
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

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