Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Topological Representation Theorem for Tropical Oriented Matroids:
  Part II   Tropical oriented matroids were defined by Ardila and Develin in 2007. They
are a tropical analogue of classical oriented matroids in the sense that they
encode the properties of the types of points in an arrangement of tropical
hyperplanes -- in much the same way as the covectors of (classical) oriented
matroids describe the types in arrangements of linear hyperplanes.
  Ardila and Develin proved that tropical oriented matroids can be represented
as mixed subdivisions of dilated simplices. In this paper we show that this
correspondence is a bijection. Moreover, a tropical analogue for the
Topological Representation Theorem for (classical) oriented matroids by Folkman
and Lawrence is presented.

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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: stat