Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bisimplicial complexes and asphericity   We present a discrete Morse-theoretic method for proving that a regular CW
complex is homeomorphic to a sphere. We use this method to define bisimplices,
the cells of a class of regular CW complexes we call bisimplicial complexes.
The 1-skeleta of bisimplices are complete bipartite graphs making them suitable
in constructing higher dimensional skeleta for bipartite graphs. We show that
the flag bisimplicial completion of a finite bipartite bi-dismantlable graph is
collapsible. We use this to show that the flag bisimplicial completion of a
quadric complex is contractible and to construct a compact K(G,1) for G a
torsion-free quadric group.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con