Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criterions for Shellable Multicomplexes   After [J.Herzog, D.Popescu, Finite filtrations of modules and shellable
multicomplexes, Preprint IMAR no 4/2005, Bucharest, 2005], the shellability of
multicomplexes $\Gamma$ is given in terms of some special faces of $\Gamma$
called facets. Here we give a criterion for the shellability in terms of
maximal facets. Multigraded pretty clean filtration is the algebraic
counterpart of a shellable multicomplex. We give also a criterion for the
existence of a multigraded pretty clean filtration.

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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: cond-mat