We prove that if ℳ = (M,≤,+,...) is a weakly o-minimal non-valuational structure expanding an ordered group (M,≤,+), 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-2-3,
author = {Roman Wencel},
title = {On expansions of weakly o-minimal non-valuational structures by convex predicates},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {147-159},
zbl = {1159.03024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-2-3}
}
Roman Wencel. On expansions of weakly o-minimal non-valuational structures by convex predicates. Fundamenta Mathematicae, Tome 205 (2009) pp. 147-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-2-3/