Geodesic
On expansions of weakly o-minimal non-valuational structures by convex predicates
Roman Wencel1
1 Mathematical Institute University of Wroc/law pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Fundamenta Mathematicae, Tome 202 (2009) no. 2, pp. 147-159.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that if ${\cal M}=(M,\leq,+,\ldots)$ is a weakly o-minimal non-valuational structure expanding an ordered group $(M,\leq,+)$, then its expansion by a family of “non-valuational” unary predicates remains non-valuational. The paper is based on the author's earlier work on strong cell decomposition for weakly o-minimal non-valuational expansions of ordered groups.
DOI : 10.4064/fm202-2-3
Keywords: prove cal leq ldots weakly o minimal non valuational structure expanding ordered group leq its expansion family non valuational unary predicates remains non valuational paper based authors earlier work strong cell decomposition weakly o minimal non valuational expansions ordered groups

Roman Wencel 1

1 Mathematical Institute University of Wroc/law pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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Roman Wencel. On expansions of weakly o-minimal
non-valuational structures
by convex predicates. Fundamenta Mathematicae, Tome 202 (2009) no. 2, pp. 147-159. doi : 10.4064/fm202-2-3. http://geodesic.mathdoc.fr/articles/10.4064/fm202-2-3/

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