Triangulation in o-minimal fields with standard part map

Lou Den Van Dries, Jana Maříková

Research output: Contribution to journalArticle

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 → κ 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 ⊆ κn.

Original languageEnglish (US)
Pages (from-to)133-155
Number of pages23
JournalFundamenta Mathematicae
Volume209
Issue number2
DOIs
StatePublished - Dec 1 2010

Keywords

  • O-minimal structures
  • Residue field
  • Triangulation

ASJC Scopus subject areas

  • Algebra and Number Theory

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