On expansions of weakly o-minimal non-valuational structures by convex predicates
Volume 202 / 2009
Fundamenta Mathematicae 202 (2009), 147-159
MSC: Primary 03C64.
DOI: 10.4064/fm202-2-3
Abstract
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.
