Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Model Theory of Valued Vector Spaces   In analogy to valued fields, we study model-theoretic properties of valued
vector spaces with variable base field by proving transfer principles down to
the skeleton and down to the value set and base field. For instance, we give a
formula which computes its burden in terms of the burden of its base field and
its value set. To do this, we study these transfer principles in the context of
lexicographic products of structures.

10
The categories of this paper are: q-bio
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph