The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes
Algebraic Topology
2017-07-19 v1
Abstract
In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral product complexes. Then we compute the universal algebra of polyhedral product complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral product spaces.
Keywords
Cite
@article{arxiv.1704.00255,
title = {The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes},
author = {Qibing Zheng},
journal= {arXiv preprint arXiv:1704.00255},
year = {2017}
}
Comments
33 pages. arXiv admin note: substantial text overlap with arXiv:1609.02291