The complement of polyhedral product spaces and the dual simplicial complexes

In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral join complexes. Then we compute the universal algebra of polyhedral join complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral pro...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2018-09, Vol.222 (9), p.2470-2489
Main Author: Zheng, Qibing
Format: Article
Language:English
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Summary:In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral join complexes. Then we compute the universal algebra of polyhedral join complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral product spaces.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2017.10.001