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arXiv · 0901.2339

Triangulation in o-minimal fields with standard part map

Lou van den Dries·Jana Maříková
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Abstract

In answering questions from arXiv:0901.2337v1 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 \to k be the corresponding standard part map. Under a mild assumption on (R,V) we show that definable subsets X of V^n admit a triangulation that induces a triangulation of its standard part st(X).

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Lou van den Dries, Jana Maříková. 2009-01-15. Triangulation in o-minimal fields with standard part map. https://arxiv.org/abs/0901.2339

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