Complement Spaces, Dual Complexes and Polyhedral Product Spaces

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:arXiv.org 2017-07
Main Author: Zheng, Qibing
Format: Article
Language:English
Subjects:
Isomorphism
Online Access:Get full text
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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:2331-8422