### On a tower of Ihara and its limit

Nicolás Caro, Arnaldo Garcia (2012)

Acta Arithmetica

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Nicolás Caro, Arnaldo Garcia (2012)

Acta Arithmetica

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Recherche Coopérative sur Programme n°25

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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...

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Séminaire de théorie des nombres de Bordeaux

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