Complement Spaces, Dual Complexes and Polyhedral Product Spaces

2016/09/08 by Qibing Zheng, Zheng, Qibing · 1 citation
Mathematics · #55N10 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N10

paper · pdf · doi:10.48550/arxiv.1609.02291

36pages

arxiv created 2017/07/19 · arxiv updated 2017/07/20

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.

Cited by

• The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes

Related

• The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes
• Polyhedral coproducts
• The Cohomology Algebra of Polyhedral Product Objects
• Polyhedral products and features of their homotopy theory
• Loop spaces of polyhedral products associated with the polyhedral join product