Triangulation in o-minimal fields with standard part map

Lou van den Dries, and Jana Maříková. "Triangulation in o-minimal fields with standard part map." Fundamenta Mathematicae 209.2 (2010): 133-155. <http://eudml.org/doc/283192>.

@article{LouvandenDries2010,
abstract = {In answering questions of J. Maříková [Fund. Math. 209 (2010)] we prove a triangulation result that is of independent interest. In more detail, let R be an o-minimal field with a proper convex subring V, and let st: V → k be the corresponding standard part map. Under a mild assumption on (R,V) we show that a definable set X ⊆ Vⁿ admits a triangulation that induces a triangulation of its standard part st X ⊆ kⁿ.},
author = {Lou van den Dries, Jana Maříková},
journal = {Fundamenta Mathematicae},
keywords = {triangulation; o-minimal structures; residue field},
language = {eng},
number = {2},
pages = {133-155},
title = {Triangulation in o-minimal fields with standard part map},
url = {http://eudml.org/doc/283192},
volume = {209},
year = {2010},
}

TY - JOUR
AU - Lou van den Dries
AU - Jana Maříková
TI - Triangulation in o-minimal fields with standard part map
JO - Fundamenta Mathematicae
PY - 2010
VL - 209
IS - 2
SP - 133
EP - 155
AB - In answering questions of J. Maříková [Fund. Math. 209 (2010)] we prove a triangulation result that is of independent interest. In more detail, let R be an o-minimal field with a proper convex subring V, and let st: V → k be the corresponding standard part map. Under a mild assumption on (R,V) we show that a definable set X ⊆ Vⁿ admits a triangulation that induces a triangulation of its standard part st X ⊆ kⁿ.
LA - eng
KW - triangulation; o-minimal structures; residue field
UR - http://eudml.org/doc/283192
ER -