Triangulation in o-minimal fields with standard part map

• Autorzy: Lou van den Dries , Jana Maříková
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03C64: Model theory of ordered structures; o-minimality
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 209
• Numer: 2
• Strony: 133-155

Daty

wydano

2010

Twórcy

autor

Lou van den Dries

• Department of Mathematics, UIUC, 1409 W. Green Street, Urbana, IL 61801, U.S.A.

autor

Jana Maříková

• Department of Mathematics, WIU, 476 Morgan Hall, 1 University Circle, Macomb, IL 61455, U.S.A.

Identyfikatory

DOI

10.4064/fm209-2-3