English

Complement Spaces, Dual Complexes and Polyhedral Product Spaces

Algebraic Topology 2017-07-20 v5

Abstract

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.

Keywords

Cite

@article{arxiv.1609.02291,
  title  = {Complement Spaces, Dual Complexes and Polyhedral Product Spaces},
  author = {Qibing Zheng},
  journal= {arXiv preprint arXiv:1609.02291},
  year   = {2017}
}

Comments

36pages

R2 v1 2026-06-22T15:43:37.346Z