Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The type $B$ permutohedron and the poset of intervals as a Tchebyshev
  transform   We show that the order complex of intervals of a poset, ordered by inclusion,
is a Tchebyshev triangulation of the order complex of the original poset.
Besides studying the properties of this transformation, we show that the dual
of the type $B$ permutohedron is combinatorially equivalent to the suspension
of the order complex of the poset of intervals of a Boolean algebra (with the
minimum and maximum elements removed).

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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: hep-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: plasm-ph