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Criterions for Shellable Multicomplexes

Dorin Popescu
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Abstract

After [J.Herzog, D.Popescu, Finite filtrations of modules and shellable multicomplexes, Preprint IMAR no 4/2005, Bucharest, 2005], the shellability of multicomplexes $Γ$ is given in terms of some special faces of $Γ$ 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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Dorin Popescu. 2005-05-30. Criterions for Shellable Multicomplexes. https://arxiv.org/abs/math/0505655

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