A generalized Łoś ultraproduct theorem

Guus Broesterhuizen

Displaying similar documents to “A generalized Łoś ultraproduct theorem”

Bounded products in the theory of valued fields.

Ursel Kiehne (1979)

Journal für die reine und angewandte Mathematik

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On a universal axiomatization of the real closed fields

Krzysztof Jan Nowak (1996)

Annales Polonici Mathematici

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This paper presents a natural axiomatization of the real closed fields. It is universal and admits quantifier elimination.

A few Remarks on n-infinite Forcing Companions

Milan Z. Grulović (2007)

Publications de l'Institut Mathématique

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Embedding theorems for spaces of ℝ-places of rational function fields and their products

Katarzyna Kuhlmann, Franz-Viktor Kuhlmann (2012)

Fundamenta Mathematicae

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We study spaces M(R(y)) of ℝ-places of rational function fields R(y) in one variable. For extensions F|R of formally real fields, with R real closed and satisfying a natural condition, we find embeddings of M(R(y)) in M(F(y)) and prove uniqueness results. Further, we study embeddings of products of spaces of the form M(F(y)) in spaces of ℝ-places of rational function fields in several variables. Our results uncover rather unexpected obstacles to a positive solution of the open question...