Čukić, Sonja Lj. and Delucchi, Emanuele
(2007)
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Simplicial shellable spheres via combinatorial blowups.
*
*Proceedings of the American Mathematical Society*, 135 (08).
pp. 2403-2415.
ISSN 0002-9939

## Abstract

The construction of the Bier sphere Bier(K for a simplicial complex K is due to Bier (1992). Björner, Paffenholz, Sjöstrand and Ziegler (2005) generalize this construction to obtain a Bier poset Bier(P,I) from any bounded poset P and any proper ideal I in P. They show shellability of Bier(P,I) for the case when P is a finite boolean lattice, and thereby obtain ‘many shellable spheres’ in the sense of Kalai (1988). We put the Bier construction into the general framework of the theory of nested set complexes of Feichtner and Kozlov (2004). We obtain ‘more shellable spheres’ by proving the general statement that combinatorial blowups, hence stellar subdivisions, preserve shellability.

Item Type: | Scientific journal article, Newspaper article or Magazine article |
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Subjects: | Mathematical sciences |

Department/unit: | Dipartimento tecnologie innovative |

Depositing User: | Emanuele Delucchi |

Date Deposited: | 27 May 2022 08:22 |

Last Modified: | 27 May 2022 14:00 |

URI: | http://repository.supsi.ch/id/eprint/13403 |

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