On expansions of weakly o-minimal non-valuational structures by convex predicates

Roman Wencel. "On expansions of weakly o-minimal non-valuational structures by convex predicates." Fundamenta Mathematicae 202.2 (2009): 147-159. <http://eudml.org/doc/282947>.

@article{RomanWencel2009,
abstract = {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.},
author = {Roman Wencel},
journal = {Fundamenta Mathematicae},
keywords = {weak o-minimality; expansions by predicates},
language = {eng},
number = {2},
pages = {147-159},
title = {On expansions of weakly o-minimal non-valuational structures by convex predicates},
url = {http://eudml.org/doc/282947},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Roman Wencel
TI - On expansions of weakly o-minimal non-valuational structures by convex predicates
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 2
SP - 147
EP - 159
AB - 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.
LA - eng
KW - weak o-minimality; expansions by predicates
UR - http://eudml.org/doc/282947
ER -