منابع مشابه
Ja n 20 09 Triangulation in o - minimal fields with standard part map
In answering questions from [7] 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 definable sets X ⊆ V n admit a triangulation that induces a triangulation of its standard part st(X) ⊆ k n .
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We let R be an o-minimal expansion of a field, V a convex subring, and (R0, V0) an elementary substructure of (R, V ). We let L be the language consisting of a language for R, in which R has elimination of quantifiers, and a predicate for V , and we let LR0 be the language L expanded by constants for all elements of R0. Our main result is that (R, V ) considered as an LR0-structure is model com...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2010
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm209-2-2