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

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Kuhlmann K., Kuhlmann F.-V.

Fundamenta Mathematicae

2012

tom 218

nr 2

121-149

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Kuhlmann F.-V.

1 Kuhlmann K.

1 2012

Wyniki wyszukiwania

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