Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neighborly Cubical Polytopes and Spheres   We prove that the neighborly cubical polytopes studied by G"unter M. Ziegler
and the first author arise as a special case of neighborly cubical spheres
constructed by Babson, Billera, and Chan. By relating the two constructions we
obtain an explicit description of a non-polytopal neighborly cubical sphere
and, further, a new proof of the fact that the cubical equivelar surfaces of
McMullen, Schulz, and Wills can be embedded into R^3.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex