Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding theorems for spaces of $\R$-places of rational function fields
  and their products   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.

26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat