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

• Autorzy: Katarzyna Kuhlmann , Franz-Viktor Kuhlmann
• Języki publikacji: EN

Abstrakty

EN

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 whether the torus can be realized as a space of ℝ-places.

Kategorie tematyczne

• 12J25: Non-Archimedean valued fields
• 12J15: Ordered fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 218
• Numer: 2
• Strony: 121-149

Daty

wydano

2012

Twórcy

autor

Katarzyna Kuhlmann

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

autor

Franz-Viktor Kuhlmann

• Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, S7N 5E6, Canada

Identyfikatory

DOI

10.4064/fm218-2-2